102537646225 has 45 divisors (see below), whose sum is σ = 148442543867. Its totient is φ = 70257732720.

The previous prime is 102537646181. The next prime is 102537646247. The reversal of 102537646225 is 522646735201.

The square root of 102537646225 is 320215.

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

It can be written as a sum of positive squares in only one way, i.e., 36913552641 + 65624093584 = 192129^2 + 256172^2 .

It is not a de Polignac number, because 102537646225 - 2¹⁷ = 102537515153 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 78452022 + ... + 78453328.

Almost surely, 2^102537646225 is an apocalyptic number.

102537646225 is the 320215-th square number.

102537646225 is the 160108-th centered octagonal number.

It is an amenable number.

102537646225 is a deficient number, since it is larger than the sum of its proper divisors (45904897642).

102537646225 is an frugal number, since it uses more digits than its factorization.

102537646225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2652 (or 1319 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 102537646225 in words is "one hundred two billion, five hundred thirty-seven million, six hundred forty-six thousand, two hundred twenty-five".