100164880764 has 72 divisors (see below), whose sum is σ = 273634928112. Its totient is φ = 30711018240.

The previous prime is 100164880763. The next prime is 100164880769. The reversal of 100164880764 is 467088461001.

100164880764 is a `hidden beast` number, since 100 + 1 + 6 + 488 + 0 + 7 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100164880763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 245697 + ... + 510584.

Almost surely, 2^100164880764 is an apocalyptic number.

It is an amenable number.

100164880764 is an abundant number, since it is smaller than the sum of its proper divisors (173470047348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100164880764 is a wasteful number, since it uses less digits than its factorization.

100164880764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756587 (or 756582 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 100164880764 in words is "one hundred billion, one hundred sixty-four million, eight hundred eighty thousand, seven hundred sixty-four".