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Plugged into the expression , 107 yields 162259276829213363391578010288127, a Mersenne prime. 107 is itself a safe prime.
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.
It is the number of triangle-free graphs on 7 vertices.
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 seventy-seven is a smaller 5-syllable number).