100983968 has 24 divisors (see below), whose sum is σ = 200138400. Its totient is φ = 50155200.

The previous prime is 100983931. The next prime is 100983977. The reversal of 100983968 is 869389001.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5618 + ... + 15281.

It is an arithmetic number, because the mean of its divisors is an integer number (8339100).

Almost surely, 2^100983968 is an apocalyptic number.

It is an amenable number.

100983968 is a deficient number, since it is larger than the sum of its proper divisors (99154432).

100983968 is a wasteful number, since it uses less digits than its factorization.

100983968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21060 (or 21052 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 44.

The square root of 100983968 is about 10049.0779676545. The cubic root of 100983968 is about 465.6763088242.

The spelling of 100983968 in words is "one hundred million, nine hundred eighty-three thousand, nine hundred sixty-eight".