107672578225 has 81 divisors (see below), whose sum is σ = 144865198179. Its totient is φ = 79382419200.

The previous prime is 107672578217. The next prime is 107672578243. The reversal of 107672578225 is 522875276701.

It is a happy number.

The square root of 107672578225 is 328135.

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 59173968049 + 48498610176 = 243257^2 + 220224^2 .

It is not a de Polignac number, because 107672578225 - 2³ = 107672578217 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1474966789 + ... + 1474966861.

Almost surely, 2^107672578225 is an apocalyptic number.

107672578225 is the 328135-th square number.

107672578225 is the 164068-th centered octagonal number.

It is an amenable number.

107672578225 is a deficient number, since it is larger than the sum of its proper divisors (37192619954).

107672578225 is an frugal number, since it uses more digits than its factorization.

107672578225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 52.

The spelling of 107672578225 in words is "one hundred seven billion, six hundred seventy-two million, five hundred seventy-eight thousand, two hundred twenty-five".