100975970 has 32 divisors (see below), whose sum is σ = 189112320. Its totient is φ = 38772160.

The previous prime is 100975969. The next prime is 100975981. The reversal of 100975970 is 79579001.

It is a super-2 number, since 2×100975970² = 20392293034881800, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54479 + ... + 56301.

It is an arithmetic number, because the mean of its divisors is an integer number (5909760).

Almost surely, 2^100975970 is an apocalyptic number.

100975970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100975970 is a deficient number, since it is larger than the sum of its proper divisors (88136350).

100975970 is a wasteful number, since it uses less digits than its factorization.

100975970 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2050.

The product of its (nonzero) digits is 19845, while the sum is 38.

The square root of 100975970 is about 10048.6800128176. The cubic root of 100975970 is about 465.6640145379.

The spelling of 100975970 in words is "one hundred million, nine hundred seventy-five thousand, nine hundred seventy".