100217416107 has 32 divisors (see below), whose sum is σ = 136809388800. Its totient is φ = 65234795648.

The previous prime is 100217416049. The next prime is 100217416109. The reversal of 100217416107 is 701614712001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100217416107 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100217416109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40457953 + ... + 40460429.

It is an arithmetic number, because the mean of its divisors is an integer number (4275293400).

Almost surely, 2^100217416107 is an apocalyptic number.

100217416107 is a deficient number, since it is larger than the sum of its proper divisors (36591972693).

100217416107 is a wasteful number, since it uses less digits than its factorization.

100217416107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3995.

The product of its (nonzero) digits is 2352, while the sum is 30.

The spelling of 100217416107 in words is "one hundred billion, two hundred seventeen million, four hundred sixteen thousand, one hundred seven".