100620915264 has 63 divisors (see below), whose sum is σ = 288433508857. Its totient is φ = 33537767424.

The previous prime is 100620915251. The next prime is 100620915277. The reversal of 100620915264 is 462519026001.

The square root of 100620915264 is 317208.

It is a perfect power (a square), and thus also a powerful number.

100620915264 is a `hidden beast` number, since 1 + 0 + 0 + 620 + 9 + 1 + 5 + 26 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (100620915251) and next prime (100620915277).

It can be written as a sum of positive squares in only one way, i.e., 40787841600 + 59833073664 = 201960^2 + 244608^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7606384 + ... + 7619600.

Almost surely, 2^100620915264 is an apocalyptic number.

100620915264 is the 317208-th square number.

It is an amenable number.

100620915264 is an abundant number, since it is smaller than the sum of its proper divisors (187812593593).

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

100620915264 is an frugal number, since it uses more digits than its factorization.

100620915264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26452 (or 13222 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 100620915264 by its sum of digits (36), we get a square (3622352949504 = 1903248²).

100620915264 divided by its sum of digits (36) gives a square (2795025424 = 52868²).

The spelling of 100620915264 in words is "one hundred billion, six hundred twenty million, nine hundred fifteen thousand, two hundred sixty-four".