108680625 has 45 divisors (see below), whose sum is σ = 197587533. Its totient is φ = 57546000.

The previous prime is 108680617. The next prime is 108680629. The reversal of 108680625 is 526086801.

It is a happy number.

The square root of 108680625 is 10425.

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

It can be written as a sum of positive squares in 2 ways, for example, as 8520561 + 100160064 = 2919^2 + 10008^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 108680625 - 2³ = 108680617 is a prime.

It is a super-2 number, since 2×108680625² = 23622956500781250, 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 108680625.

It is not an unprimeable number, because it can be changed into a prime (108680629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 781806 + ... + 781944.

Almost surely, 2^108680625 is an apocalyptic number.

108680625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

108680625 is the 10425-th square number.

108680625 is the 5213-rd centered octagonal number.

It is an amenable number.

108680625 is a deficient number, since it is larger than the sum of its proper divisors (88906908).

108680625 is an frugal number, since it uses more digits than its factorization.

108680625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The cubic root of 108680625 is about 477.2186147679.

Multiplying 108680625 by its sum of digits (36), we get a square (3912502500 = 62550²).

The spelling of 108680625 in words is "one hundred eight million, six hundred eighty thousand, six hundred twenty-five".