100

Short description: Natural number

| <- 99  | 100 |  101 ->

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← 100 101 102 103 104 105 106 107 108 109 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

Cardinal| one hundred
Ordinal| 100th
(one hundredth)
Factorization| 22 × 52
Divisors| 1, 2, 4, 5, 10, 20, 25, 50, 100
Greek numeral| Ρ´
Roman numeral| C, c
Binary| 11001002
Ternary| 102013
Quaternary| 12104
Quinary| 4005
Senary| 2446
Octal| 1448
Duodecimal| 8412
Hexadecimal| 6416
Vigesimal| 5020
Base 36| 2S36
Greek numeral| ρ
Arabic| ١٠٠
Bengali| ১০০
Chinese numeral| 佰,百
Devanagari| १००
Hebrew| ק (Kuf)
Khmer| ១០០
Tamil| ௱, க௦௦
Thai| ๑๐๐

100 or one hundred (Roman numeral: C)[1] is the natural number following 99 and preceding 101.

## Contents

* 1 In mathematics
* 2 In science
* 3 In history
* 4 In religion
* 5 In politics
* 6 In money
* 7 In sports
* 8 In other fields
* 9 See also
* 10 References
* 11 External links

## In mathematics

100 as the sum of the first positive cubes.

100 is the square of 10 (in scientific notation it is written as 102). The standard SI prefix for a hundred is "hecto-".

100 is the basis of percentages (per cent meaning "per hundred" in Latin), with 100% being a full amount.

100 is a Harshad number in decimal, and also in base-four, a base in-which it is also a self-descriptive number.[2][3]

100 is the sum of the first nine prime numbers, from 2 through 23.[4] It is also divisible by the number of primes below it, 25.[5]

100 cannot be expressed as the difference between any integer and the total of coprimes below it, making it a noncototient.[6]

100 has a reduced totient of 20, and an Euler totient of 40.[7][8] A totient value of 100 is obtained from four numbers: 101, 125, 202, and 250.

100 can be expressed as a sum of some of its divisors, making it a semiperfect number.[9] The geometric mean of its nine divisors is 10.

100 is the sum of the cubes of the first four positive integers (100 = 13 \+ 23 \+ 33 \+ 43).[10] This is related by Nicomachus's theorem to the fact that 100 also equals the square of the sum of the first four positive integers: 100 = 102 = (1 + 2 + 3 + 4)2.[11]

100 = 26 \+ 62, thus 100 is the seventh Leyland number.[12] 100 is also the seventeenth Erdős–Woods number, and the fourth 18-gonal number.[13][14]

The 100th prime number is 541, which returns 0 for the Mertens function.[15] It is the 10th star number[16] (whose digit sum also adds to 10 in decimal).

There are exactly 100 prime numbers in base-ten whose digits are in strictly ascending order (e.g. 239, 2357 etc.).[17] The last such prime number is 23456789, which contains eight consecutive integers as digits.

## In science

One hundred is the atomic number of fermium, an actinide and the last of the heavy metals that can be created through neutron bombardment.

On the Celsius scale, 100 degrees is the boiling temperature of pure water at sea level.

The Kármán line lies at an altitude of 100 kilometres above the Earth's sea level and is commonly used to define the boundary between Earth's atmosphere and outer space.

## In history

* In medieval contexts, it may be described as the short hundred or five score in order to differentiate the English and Germanic use of "hundred" to describe the long hundred[18] of six score or 120.

## In religion

* There are 100 blasts of the Shofar heard in the service of Rosh Hashana, the Jewish New Year.[19]
* A religious Jew is expected to utter at least 100 blessings daily.[20]
* In the Hindu epic of the Mahabharata, King Dhritarashtra of Kuru had 100 sons, known as the Kauravas.

## In politics

* The Hundred (county division) is a largely historical division of a county or similar larger administrative unit.
* The United States Senate has 100 Senators.

## In money

Hundred rupee note India

Most of the world's currencies are divided into 100 subunits; for example, one euro is one hundred cents and one pound sterling is one hundred pence.

By specification, 100 euro notes feature a picture of a Rococo gateway on the obverse and a Baroque bridge on the reverse.

The U.S. hundred-dollar bill, Series 2009

The U.S. hundred-dollar bill has Benjamin Franklin's portrait; the "Benjamin" is the largest U.S. bill in print. American savings bonds of $100 have Thomas Jefferson's portrait, while American $100 treasury bonds have Andrew Jackson's portrait.

## In sports

* The number of yards in an American football field (not including the end zones).[21]
* The number of points required for a snooker player to score a century break, a significant milestone.
* The record number of points scored in one NBA game by a single player, set by Wilt Chamberlain of the Philadelphia Warriors on March 2, 1962.[22]
* The 100-yard dash and the 100-metre dash are sprint track events.
* The 100-kilometre walk is a racewalking event.
* The Hundred (cricket), a 100-ball cricket competition.

## In other fields

One hundred is also:

* The number of years in a century.
* The number of centimeters in a meter.
* The number of pounds in an American short hundredweight.
* In Greece, India , Israel and Nepal, 100 is the police telephone number.
* In Belgium, 100 is the ambulance and firefighter telephone number.
* In United Kingdom , 100 is the operator telephone number.
* The HTTP status code indicating that the client should continue with its request.
* The age at which a person becomes a centenarian.

## See also

* 1 vs. 100
* AFI's 100 Years...
* Hundred (division)
* Hundred (word)
* Hundred Days
* Hundred Years' War
* List of highways numbered 100
* Top 100
* Greatest 100

## References

1. ↑ Reinforced by but not originally derived from Latin centum.
2. ↑ "Sloane's A005349 : Niven (or Harshad) numbers". OEIS Foundation. https://oeis.org/A005349.
3. ↑ Sloane, N. J. A., ed. "Sequence A108551 (Self-descriptive numbers in various bases represented in base 10)". OEIS Foundation. https://oeis.org/A108551. Retrieved 2022-12-08.
4. ↑ Sloane, N. J. A., ed. "Sequence A007504 (Sum of the first n primes.)". OEIS Foundation. https://oeis.org/A007504.
5. ↑ Sloane, N. J. A., ed. "Sequence A057809 (Numbers n such that pi(n) divides n.)". OEIS Foundation. https://oeis.org/A057809.
6. ↑ Sloane, N. J. A., ed. "Sequence A005278 (Noncototients)". OEIS Foundation. https://oeis.org/A005278. Retrieved 2022-12-08.
7. ↑ Sloane, N. J. A., ed. "Sequence A002322 (Reduced totient function)". OEIS Foundation. https://oeis.org/A002322. Retrieved 2022-12-08.
8. ↑ Sloane, N. J. A., ed. "Sequence A000010 (Euler totient function)". OEIS Foundation. https://oeis.org/A000010.
9. ↑ Sloane, N. J. A., ed. "Sequence A005835 (Pseudoperfect (or semiperfect) numbers n)". OEIS Foundation. https://oeis.org/A005835. Retrieved 2022-12-08.
10. ↑ Sloane, N. J. A., ed. "Sequence A025403 (Numbers that are the sum of 4 positive cubes in exactly 1 way.)". OEIS Foundation. https://oeis.org/A025403. Retrieved 2022-12-08.
11. ↑ Sloane, N. J. A., ed. "Sequence A000537 (Sum of first n cubes; or n-th triangular number squared)". OEIS Foundation. https://oeis.org/A000537.
12. ↑ "Sloane's A076980 : Leyland numbers". OEIS Foundation. https://oeis.org/A076980.
13. ↑ Sloane, N. J. A., ed. "Sequence A059756 (Erdős-Woods numbers: the length of an interval of consecutive integers with property that every element has a factor in common with one of the endpoints)". OEIS Foundation. https://oeis.org/A059756. Retrieved 2022-11-30.
14. ↑ "Sloane's A051870 : 18-gonal numbers". OEIS Foundation. https://oeis.org/A051870.
15. ↑ Sloane, N. J. A., ed. "Sequence A028442 (Numbers k such that Mertens's function M(k) (A002321) is zero.)". OEIS Foundation. https://oeis.org/A028442. Retrieved 2023-09-02.
16. ↑ Sloane, N. J. A., ed. "Sequence A003154". OEIS Foundation. https://oeis.org/A003154. Retrieved 2023-09-02.
17. ↑ Sloane, N. J. A., ed. "Sequence A052015 (Primes with distinct digits in ascending order.)". OEIS Foundation. https://oeis.org/A052015. Retrieved 2022-11-05.
18. ↑ see Duodecimal § Origin
19. ↑ Insights, September 28, 2011.
20. ↑ Leo Rosten, The Joys of Yiddish (1968), page 52.
21. ↑ Grasso, John (2013), Historical Dictionary of Football, Scarecrow Press, p. 133, ISBN 9780810878570, https://books.google.com/books?id=YTUPQ2Zm-dQC&pg=PA133 .
22. ↑ "Basketball Legend Chamberlain Dies at 63". https://www.washingtonpost.com/wp-srv/sports/nba/daily/oct99/13/chamberlain13.htm.

* Wells, D. The Penguin Dictionary of Curious and Interesting Numbers London: Penguin Group. (1987): 133

## External links

* "On the Number 100". https://www.wisdomportal.com/Numbers/100.html.

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