100672262272 has 32 divisors (see below), whose sum is σ = 202543771500. Its totient is φ = 49837747200.

The previous prime is 100672262231. The next prime is 100672262347. The reversal of 100672262272 is 272262276001.

It can be written as a sum of positive squares in 2 ways, for example, as 99891395136 + 780867136 = 316056^2 + 27944^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3880647 + ... + 3906502.

Almost surely, 2^100672262272 is an apocalyptic number.

It is an amenable number.

100672262272 is an abundant number, since it is smaller than the sum of its proper divisors (101871509228).

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

100672262272 is an equidigital number, since it uses as much as digits as its factorization.

100672262272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7787264 (or 7787252 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 37.

The spelling of 100672262272 in words is "one hundred billion, six hundred seventy-two million, two hundred sixty-two thousand, two hundred seventy-two".