100792260 has 72 divisors (see below), whose sum is σ = 306884760. Its totient is φ = 26777088.

The previous prime is 100792259. The next prime is 100792277. The reversal of 100792260 is 62297001.

It can be written as a sum of positive squares in 4 ways, for example, as 5846724 + 94945536 = 2418^2 + 9744^2 .

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 23 ways as a sum of consecutive naturals, for example, 55446 + ... + 57234.

Almost surely, 2^100792260 is an apocalyptic number.

100792260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100792260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153442380).

100792260 is an abundant number, since it is smaller than the sum of its proper divisors (206092500).

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

100792260 is a wasteful number, since it uses less digits than its factorization.

100792260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2117 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 100792260 is about 10039.5348497826. The cubic root of 100792260 is about 465.3814421315.

The spelling of 100792260 in words is "one hundred million, seven hundred ninety-two thousand, two hundred sixty".