100966725 has 18 divisors (see below), whose sum is σ = 180843026. Its totient is φ = 53848800.

The previous prime is 100966667. The next prime is 100966751. The reversal of 100966725 is 527669001.

It can be written as a sum of positive squares in 3 ways, for example, as 17189316 + 83777409 = 4146^2 + 9153^2 .

It is not a de Polignac number, because 100966725 - 2⁸ = 100966469 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 100966725.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 224146 + ... + 224595.

Almost surely, 2^100966725 is an apocalyptic number.

100966725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100966725 is a deficient number, since it is larger than the sum of its proper divisors (79876301).

100966725 is a wasteful number, since it uses less digits than its factorization.

100966725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448757 (or 448749 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 100966725 is about 10048.2199916204. The cubic root of 100966725 is about 465.6498025915.

The spelling of 100966725 in words is "one hundred million, nine hundred sixty-six thousand, seven hundred twenty-five".