100967625 has 96 divisors (see below), whose sum is σ = 204422400. Its totient is φ = 47520000.

The previous prime is 100967623. The next prime is 100967639. The reversal of 100967625 is 526769001.

It is not a de Polignac number, because 100967625 - 2¹ = 100967623 is a prime.

It is a super-2 number, since 2×100967625² = 20388922596281250, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100967625.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100967623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 507276 + ... + 507474.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^100967625 is an apocalyptic number.

100967625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100967625 is an abundant number, since it is smaller than the sum of its proper divisors (103454775).

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

100967625 is a wasteful number, since it uses less digits than its factorization.

100967625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 259 counting only the distinct ones).

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

The square root of 100967625 is about 10048.2647755719. The cubic root of 100967625 is about 465.6511861615.

The spelling of 100967625 in words is "one hundred million, nine hundred sixty-seven thousand, six hundred twenty-five".