100792131 has 16 divisors (see below), whose sum is σ = 154323840. Its totient is φ = 57870720.

The previous prime is 100792123. The next prime is 100792147. The reversal of 100792131 is 131297001.

It is not a de Polignac number, because 100792131 - 2³ = 100792123 is a prime.

It is a super-2 number, since 2×100792131² = 20318107343042322, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100792121) 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 15 ways as a sum of consecutive naturals, for example, 79750 + ... + 81003.

It is an arithmetic number, because the mean of its divisors is an integer number (9645240).

Almost surely, 2^100792131 is an apocalyptic number.

100792131 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

100792131 is a deficient number, since it is larger than the sum of its proper divisors (53531709).

100792131 is a wasteful number, since it uses less digits than its factorization.

100792131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160786.

The product of its (nonzero) digits is 378, while the sum is 24.

The square root of 100792131 is about 10039.5284251801. The cubic root of 100792131 is about 465.3812435904.

The spelling of 100792131 in words is "one hundred million, seven hundred ninety-two thousand, one hundred thirty-one".