102515625 has 63 divisors (see below), whose sum is σ = 192204571. Its totient is φ = 54675000.

The previous prime is 102515603. The next prime is 102515639. The reversal of 102515625 is 526515201.

The square root of 102515625 is 10125.

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

102515625 is a `hidden beast` number, since 1 + 0 + 25 + 15 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 89813529 + 12702096 = 9477^2 + 3564^2 .

It is not a de Polignac number, because 102515625 - 2⁹ = 102515113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a nialpdrome in base 15.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20503123 + ... + 20503127.

Almost surely, 2^102515625 is an apocalyptic number.

102515625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102515625 is the 10125-th square number.

102515625 is the 5063-rd centered octagonal number.

It is an amenable number.

102515625 is a deficient number, since it is larger than the sum of its proper divisors (89688946).

102515625 is an frugal number, since it uses more digits than its factorization.

102515625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 8 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The cubic root of 102515625 is about 468.0188601867.

Multiplying 102515625 by its product of nonzero digits (3000), we get a cube (307546875000 = 6750³).

It can be divided in two parts, 10251 and 5625, that added together give a square (15876 = 126²).

The spelling of 102515625 in words is "one hundred two million, five hundred fifteen thousand, six hundred twenty-five".