100972988 has 12 divisors (see below), whose sum is σ = 176861832. Its totient is φ = 50441040.

The previous prime is 100972939. The next prime is 100972997. The reversal of 100972988 is 889279001.

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 6095 + ... + 15462.

It is an arithmetic number, because the mean of its divisors is an integer number (14738486).

Almost surely, 2^100972988 is an apocalyptic number.

It is an amenable number.

100972988 is a deficient number, since it is larger than the sum of its proper divisors (75888844).

100972988 is a wasteful number, since it uses less digits than its factorization.

100972988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22732 (or 22730 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The square root of 100972988 is about 10048.5316340249. The cubic root of 100972988 is about 465.6594305306.

The spelling of 100972988 in words is "one hundred million, nine hundred seventy-two thousand, nine hundred eighty-eight".