100967172 has 24 divisors (see below), whose sum is σ = 239584800. Its totient is φ = 33085056.

The previous prime is 100967149. The next prime is 100967179. The reversal of 100967172 is 271769001.

It is not an unprimeable number, because it can be changed into a prime (100967179) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70597 + ... + 72012.

It is an arithmetic number, because the mean of its divisors is an integer number (9982700).

Almost surely, 2^100967172 is an apocalyptic number.

100967172 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100967172 is an abundant number, since it is smaller than the sum of its proper divisors (138617628).

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

100967172 is a wasteful number, since it uses less digits than its factorization.

100967172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142675 (or 142673 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 100967172 is about 10048.2422343413. The cubic root of 100967172 is about 465.6504897656.

The spelling of 100967172 in words is "one hundred million, nine hundred sixty-seven thousand, one hundred seventy-two".