102364803025 has 27 divisors (see below), whose sum is σ = 129170463123. Its totient is φ = 80472566400.

The previous prime is 102364802977. The next prime is 102364803059. The reversal of 102364803025 is 520308463201.

The square root of 102364803025 is 319945.

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 77547211729 + 24817591296 = 278473^2 + 157536^2 .

It is not a de Polignac number, because 102364803025 - 2⁹ = 102364802513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 97582701 + ... + 97583749.

Almost surely, 2^102364803025 is an apocalyptic number.

102364803025 is the 319945-th square number.

102364803025 is the 159973-rd centered octagonal number.

It is an amenable number.

102364803025 is a deficient number, since it is larger than the sum of its proper divisors (26805660098).

102364803025 is an frugal number, since it uses more digits than its factorization.

102364803025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 1115 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 102364803025 in words is "one hundred two billion, three hundred sixty-four million, eight hundred three thousand, twenty-five".