102800390625 has 189 divisors, whose sum is σ = 203336321673. Its totient is φ = 51941250000.

The previous prime is 102800390573. The next prime is 102800390633. The reversal of 102800390625 is 526093008201.

The square root of 102800390625 is 320625.

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

102800390625 is a `hidden beast` number, since 1 + 0 + 28 + 0 + 0 + 3 + 9 + 0 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 73089663201 + 29710727424 = 270351^2 + 172368^2 .

It is a de Polignac number, because none of the positive numbers 2^k-102800390625 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102800390625.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5410546866 + ... + 5410546884.

Almost surely, 2^102800390625 is an apocalyptic number.

102800390625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102800390625 is the 320625-th square number.

102800390625 is the 160313-rd centered octagonal number.

It is an amenable number.

102800390625 is a deficient number, since it is larger than the sum of its proper divisors (100535931048).

102800390625 is an frugal number, since it uses more digits than its factorization.

102800390625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 27 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 102800390625 by its sum of digits (36), we get a square (3700814062500 = 1923750²).

Adding to 102800390625 its reverse (526093008201), we get a palindrome (628893398826).

The spelling of 102800390625 in words is "one hundred two billion, eight hundred million, three hundred ninety thousand, six hundred twenty-five".