100883680 has 24 divisors (see below), whose sum is σ = 238338072. Its totient is φ = 40353408.

The previous prime is 100883621. The next prime is 100883693. The reversal of 100883680 is 86388001.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 315102 + ... + 315421.

It is an arithmetic number, because the mean of its divisors is an integer number (9930753).

Almost surely, 2^100883680 is an apocalyptic number.

100883680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100883680 is an abundant number, since it is smaller than the sum of its proper divisors (137454392).

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

100883680 is an equidigital number, since it uses as much as digits as its factorization.

100883680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630538 (or 630530 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

The square root of 100883680 is about 10044.0868176256. The cubic root of 100883680 is about 465.5221021216.

The spelling of 100883680 in words is "one hundred million, eight hundred eighty-three thousand, six hundred eighty".