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((More citations needed
| date = May 2016
))
((Infobox number
| number = 107
| factorization = [[prime number|prime]]
| prime = 28th
| divisor = 1, 107
))
'''107''' ('''one hundred [and] seven''') is the [[natural number]] following [[106 (number)|106]] and preceding [[108 (number)|108]].

==In mathematics==
107 is the 28th [[prime number]]. The next prime is [[one hundred nine|109]], with which it comprises a [[twin prime]], making 107 a [[Chen prime]].<ref>((Cite web|url=https://oeis.org/A109611|title=Sloane's A109611 : Chen primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27))</ref>

Plugged into the expression <math>2^p - 1</math>, 107 yields 162259276829213363391578010288127, a [[Mersenne prime]].<ref>((Cite web|url=https://oeis.org/A000043|title=Sloane's A000043 : Mersenne exponents|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27))</ref> 107 is itself a [[safe prime]].<ref>((Cite web|url=https://oeis.org/A005385|title=Sloane's A005385 : Safe primes|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2016-05-27))</ref>

It is the fourth [[Busy beaver]] number, the maximum number of steps that any [[Turing machine]] with 2 symbols and 4 states can make before eventually halting.<ref>((Cite web|url=https://oeis.org/A060843|title=Sloane's A060843 : Busy Beaver problem: number of steps before halting|website=The On-Line Encyclopedia of Integer Sequences|publisher=OEIS Foundation|access-date=2021-09-24))</ref>

It is the number of triangle-free graphs on 7 vertices.<ref>((cite OEIS|A006785|Number of triangle-free graphs on n vertices))</ref>

It is the ninth [[emirp]], because reversing its digits gives another prime number (701)

==In other fields==
As "one hundred ''and'' seven", it is the smallest positive integer requiring six syllables in English (without the "and" it only has five syllables and [[77 (number)|seventy-seven]] is a smaller 5-syllable number).

'''107''' is also:
* The [[atomic number]] of [[bohrium]].
* The emergency telephone number in [[Argentina]] and [[Cape Town]].
* The telephone of the police in [[Hungary]].
* A common designation for the [[fair use]] exception in copyright law (from 17 U.S.C. 107)
* [[Peugeot 107]] model of car

===In sports===
* The [[107% rule]], a [[Formula One]] Sporting Regulation in operation from 1996 to 2002 and 2011 onward.
* The number 107 is also associated with the [[Timbers Army]] [[supporters group]] of the [[Portland Timbers]] [[soccer]] team, in reference to the stadium seating section where the group originally congregated.

==See also==
* [[List of highways numbered 107]]

== References ==
((Reflist))
((Integers|1))

((DEFAULTSORT:107 (Number)))
[[Category:Integers]]

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