102315625 has 24 divisors (see below), whose sum is σ = 132413400. Its totient is φ = 78960000.

The previous prime is 102315581. The next prime is 102315641. The reversal of 102315625 is 526513201.

It can be written as a sum of positive squares in 12 ways, for example, as 98485776 + 3829849 = 9924^2 + 1957^2 .

It is not a de Polignac number, because 102315625 - 2⁹ = 102315113 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 102315625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 90061 + ... + 91189.

It is an arithmetic number, because the mean of its divisors is an integer number (5517225).

Almost surely, 2^102315625 is an apocalyptic number.

It is an amenable number.

102315625 is a deficient number, since it is larger than the sum of its proper divisors (30097775).

102315625 is an frugal number, since it uses more digits than its factorization.

102315625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The square root of 102315625 is about 10115.1186349939. The cubic root of 102315625 is about 467.7143059319.

Adding to 102315625 its reverse (526513201), we get a palindrome (628828826).

The spelling of 102315625 in words is "one hundred two million, three hundred fifteen thousand, six hundred twenty-five".