102717045025 has 27 divisors (see below), whose sum is σ = 148180278969. Its totient is φ = 70426853280.

The previous prime is 102717045007. The next prime is 102717045031. The reversal of 102717045025 is 520540717201.

The square root of 102717045025 is 320495.

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

It can be written as a sum of positive squares in 4 ways, for example, as 28585003041 + 74132041984 = 169071^2 + 272272^2 .

It is not a de Polignac number, because 102717045025 - 2⁵ = 102717044993 is a prime.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 11212747 + ... + 11221903.

Almost surely, 2^102717045025 is an apocalyptic number.

102717045025 is the 320495-th square number.

102717045025 is the 160248-th centered octagonal number.

It is an amenable number.

102717045025 is a deficient number, since it is larger than the sum of its proper divisors (45463233944).

102717045025 is an frugal number, since it uses more digits than its factorization.

102717045025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18338 (or 9169 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 34.

The spelling of 102717045025 in words is "one hundred two billion, seven hundred seventeen million, forty-five thousand, twenty-five".