102554938564 has 81 divisors (see below), whose sum is σ = 197888947893. Its totient is φ = 46483766784.

The previous prime is 102554938559. The next prime is 102554938613. The reversal of 102554938564 is 465839455201.

It is a happy number.

The square root of 102554938564 is 320242.

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 102245178564 + 309760000 = 319758^2 + 17600^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

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, 907565772 + ... + 907565884.

Almost surely, 2^102554938564 is an apocalyptic number.

102554938564 is the 320242-nd square number.

It is an amenable number.

102554938564 is a deficient number, since it is larger than the sum of its proper divisors (95334009329).

102554938564 is a wasteful number, since it uses less digits than its factorization.

102554938564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 52.

The spelling of 102554938564 in words is "one hundred two billion, five hundred fifty-four million, nine hundred thirty-eight thousand, five hundred sixty-four".