100921625 has 24 divisors (see below), whose sum is σ = 146522376. Its totient is φ = 69199200.

The previous prime is 100921619. The next prime is 100921627. The reversal of 100921625 is 526129001.

It can be written as a sum of positive squares in 4 ways, for example, as 8684809 + 92236816 = 2947^2 + 9604^2 .

It is not a de Polignac number, because 100921625 - 2¹² = 100917529 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100921594 and 100921603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100921627) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2114 + ... + 14363.

It is an arithmetic number, because the mean of its divisors is an integer number (6105099).

Almost surely, 2^100921625 is an apocalyptic number.

It is an amenable number.

100921625 is a deficient number, since it is larger than the sum of its proper divisors (45600751).

100921625 is an equidigital number, since it uses as much as digits as its factorization.

100921625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16506 (or 16489 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 100921625 is about 10045.9755623832. The cubic root of 100921625 is about 465.5804598328.

The spelling of 100921625 in words is "one hundred million, nine hundred twenty-one thousand, six hundred twenty-five".