100792152 has 48 divisors (see below), whose sum is σ = 273737880. Its totient is φ = 33504000.

The previous prime is 100792151. The next prime is 100792157. The reversal of 100792152 is 251297001.

It is a super-2 number, since 2×100792152² = 20318115809582208, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100792151) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 27127 + ... + 30617.

Almost surely, 2^100792152 is an apocalyptic number.

100792152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100792152 is an abundant number, since it is smaller than the sum of its proper divisors (172945728).

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

100792152 is a wasteful number, since it uses less digits than its factorization.

100792152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3904 (or 3897 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 100792152 is about 10039.5294710459. The cubic root of 100792152 is about 465.3812759110.

The spelling of 100792152 in words is "one hundred million, seven hundred ninety-two thousand, one hundred fifty-two".