112890625 has 27 divisors (see below), whose sum is σ = 149902267. Its totient is φ = 85000000.

The previous prime is 112890611. The next prime is 112890641. The reversal of 112890625 is 526098211.

The square root of 112890625 is 10625.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 27217089 + 85673536 = 5217^2 + 9256^2 .

It is not a de Polignac number, because 112890625 - 2⁵ = 112890593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6640617 + ... + 6640633.

Almost surely, 2^112890625 is an apocalyptic number.

112890625 is the 10625-th square number.

112890625 is the 5313-rd centered octagonal number.

It is an amenable number.

112890625 is a deficient number, since it is larger than the sum of its proper divisors (37011642).

112890625 is an frugal number, since it uses more digits than its factorization.

112890625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 34.

The cubic root of 112890625 is about 483.3027791493.

The spelling of 112890625 in words is "one hundred twelve million, eight hundred ninety thousand, six hundred twenty-five".