100793120 has 48 divisors (see below), whose sum is σ = 238743288. Its totient is φ = 40212480.

The previous prime is 100793117. The next prime is 100793137. The reversal of 100793120 is 21397001.

It can be written as a sum of positive squares in 4 ways, for example, as 56010256 + 44782864 = 7484^2 + 6692^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98210 + ... + 99230.

Almost surely, 2^100793120 is an apocalyptic number.

100793120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100793120 is an abundant number, since it is smaller than the sum of its proper divisors (137950168).

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

100793120 is a wasteful number, since it uses less digits than its factorization.

100793120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 23.

The square root of 100793120 is about 10039.5776803609. The cubic root of 100793120 is about 465.3827657348.

The spelling of 100793120 in words is "one hundred million, seven hundred ninety-three thousand, one hundred twenty".