100358272 has 48 divisors (see below), whose sum is σ = 232589070. Its totient is φ = 43008000.

The previous prime is 100358249. The next prime is 100358281. The reversal of 100358272 is 272853001.

It can be written as a sum of positive squares in only one way, i.e., 69622336 + 30735936 = 8344^2 + 5544^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 100358272.

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 5 ways as a sum of consecutive naturals, for example, 1729 + ... + 14272.

Almost surely, 2^100358272 is an apocalyptic number.

It is an amenable number.

100358272 is an abundant number, since it is smaller than the sum of its proper divisors (132230798).

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

100358272 is an equidigital number, since it uses as much as digits as its factorization.

100358272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16029 (or 16010 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 100358272 is about 10017.8975838247. The cubic root of 100358272 is about 464.7125397930.

The spelling of 100358272 in words is "one hundred million, three hundred fifty-eight thousand, two hundred seventy-two".