100972116864 has 320 divisors, whose sum is σ = 309863188800. Its totient is φ = 32621875200.

The previous prime is 100972116821. The next prime is 100972116877. The reversal of 100972116864 is 468611279001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 53114314 + ... + 53116214.

It is an arithmetic number, because the mean of its divisors is an integer number (968322465).

Almost surely, 2^100972116864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100972116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154931594400).

100972116864 is an abundant number, since it is smaller than the sum of its proper divisors (208891071936).

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

100972116864 is a wasteful number, since it uses less digits than its factorization.

100972116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2083 (or 2062 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 100972116864 in words is "one hundred billion, nine hundred seventy-two million, one hundred sixteen thousand, eight hundred sixty-four".