100938616307 has 16 divisors (see below), whose sum is σ = 112642944000. Its totient is φ = 90040209120.

The previous prime is 100938616297. The next prime is 100938616313. The reversal of 100938616307 is 703616839001.

It is a cyclic number.

It is not a de Polignac number, because 100938616307 - 2⁴ = 100938616291 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100938616327) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2294057 + ... + 2337642.

It is an arithmetic number, because the mean of its divisors is an integer number (7040184000).

Almost surely, 2^100938616307 is an apocalyptic number.

100938616307 is a deficient number, since it is larger than the sum of its proper divisors (11704327693).

100938616307 is a wasteful number, since it uses less digits than its factorization.

100938616307 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4631786.

The product of its (nonzero) digits is 163296, while the sum is 44.

The spelling of 100938616307 in words is "one hundred billion, nine hundred thirty-eight million, six hundred sixteen thousand, three hundred seven".