102428802025 has 75 divisors (see below), whose sum is σ = 146062542055. Its totient is φ = 71254818800.

The previous prime is 102428802013. The next prime is 102428802031. The reversal of 102428802025 is 520208824201.

The square root of 102428802025 is 320045.

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., 36874368729 + 65554433296 = 192027^2 + 256036^2 .

It is not a de Polignac number, because 102428802025 - 2²⁷ = 102294584297 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4453426164 + ... + 4453426186.

Almost surely, 2^102428802025 is an apocalyptic number.

102428802025 is the 320045-th square number.

102428802025 is the 160023-rd centered octagonal number.

It is an amenable number.

102428802025 is a deficient number, since it is larger than the sum of its proper divisors (43633740030).

102428802025 is an frugal number, since it uses more digits than its factorization.

102428802025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 39 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 102428802025 in words is "one hundred two billion, four hundred twenty-eight million, eight hundred two thousand, twenty-five".