100792125 has 48 divisors (see below), whose sum is σ = 207667200. Its totient is φ = 46072800.

The previous prime is 100792123. The next prime is 100792147. The reversal of 100792125 is 521297001.

It is not a de Polignac number, because 100792125 - 2¹ = 100792123 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100792121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1476 + ... + 14274.

It is an arithmetic number, because the mean of its divisors is an integer number (4326400).

Almost surely, 2^100792125 is an apocalyptic number.

100792125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100792125 is an abundant number, since it is smaller than the sum of its proper divisors (106875075).

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

100792125 is a wasteful number, since it uses less digits than its factorization.

100792125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12827 (or 12814 counting only the distinct ones).

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

The square root of 100792125 is about 10039.5281263613. The cubic root of 100792125 is about 465.3812343559.

The spelling of 100792125 in words is "one hundred million, seven hundred ninety-two thousand, one hundred twenty-five".