102992855625 has 135 divisors (see below), whose sum is σ = 204862797139. Its totient is φ = 49807560000.

The previous prime is 102992855617. The next prime is 102992855663. The reversal of 102992855625 is 526558299201.

The square root of 102992855625 is 320925.

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

102992855625 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 9 + 2 + 8 + 5 + 5 + 625 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 97930817721 + 5062037904 = 312939^2 + 71148^2 .

It is not a de Polignac number, because 102992855625 - 2³ = 102992855617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 264762931 + ... + 264763319.

Almost surely, 2^102992855625 is an apocalyptic number.

102992855625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102992855625 is the 320925-th square number.

102992855625 is the 160463-rd centered octagonal number.

It is an amenable number.

102992855625 is a deficient number, since it is larger than the sum of its proper divisors (101869941514).

102992855625 is an frugal number, since it uses more digits than its factorization.

102992855625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 826 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3888000, while the sum is 54.

The spelling of 102992855625 in words is "one hundred two billion, nine hundred ninety-two million, eight hundred fifty-five thousand, six hundred twenty-five".