100972140 has 48 divisors (see below), whose sum is σ = 286607328. Its totient is φ = 26555904.

The previous prime is 100972133. The next prime is 100972147. The reversal of 100972140 is 41279001.

It is an interprime number because it is at equal distance from previous prime (100972133) and next prime (100972147).

It is a self number, because there is not a number n which added to its sum of digits gives 100972140.

It is not an unprimeable number, because it can be changed into a prime (100972147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7147 + ... + 15906.

It is an arithmetic number, because the mean of its divisors is an integer number (5970986).

Almost surely, 2^100972140 is an apocalyptic number.

100972140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100972140 is an abundant number, since it is smaller than the sum of its proper divisors (185635188).

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

100972140 is a wasteful number, since it uses less digits than its factorization.

100972140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23138 (or 23136 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

The square root of 100972140 is about 10048.4894387166. The cubic root of 100972140 is about 465.6581269466.

The spelling of 100972140 in words is "one hundred million, nine hundred seventy-two thousand, one hundred forty".