102384000625 has 15 divisors (see below), whose sum is σ = 127949043981. Its totient is φ = 81900801000.

The previous prime is 102384000623. The next prime is 102384000637. The reversal of 102384000625 is 526000483201.

The square root of 102384000625 is 319975.

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 8026905649 + 94357094976 = 89593^2 + 307176^2 .

It is not a de Polignac number, because 102384000625 - 2¹ = 102384000623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102384000623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7992976 + ... + 8005774.

Almost surely, 2^102384000625 is an apocalyptic number.

102384000625 is the 319975-th square number.

102384000625 is the 159988-th centered octagonal number.

It is an amenable number.

102384000625 is a deficient number, since it is larger than the sum of its proper divisors (25565043356).

102384000625 is an frugal number, since it uses more digits than its factorization.

102384000625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25618 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

Adding to 102384000625 its reverse (526000483201), we get a palindrome (628384483826).

The spelling of 102384000625 in words is "one hundred two billion, three hundred eighty-four million, six hundred twenty-five", and thus it is an aban number.