100631664320 has 112 divisors (see below), whose sum is σ = 269846608896. Its totient is φ = 35412864000.

The previous prime is 100631664299. The next prime is 100631664323. The reversal of 100631664320 is 23466136001.

100631664320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100631664320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (100631664323) 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 15 ways as a sum of consecutive naturals, for example, 351986 + ... + 570225.

Almost surely, 2^100631664320 is an apocalyptic number.

100631664320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100631664320 is an abundant number, since it is smaller than the sum of its proper divisors (169214944576).

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

100631664320 is a wasteful number, since it uses less digits than its factorization.

100631664320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 922270 (or 922260 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 100631664320 in words is "one hundred billion, six hundred thirty-one million, six hundred sixty-four thousand, three hundred twenty".