102359435536656 has 135 divisors (see below), whose sum is σ = 296014009817253. Its totient is φ = 33017958679680.

The previous prime is 102359435536643. The next prime is 102359435536661. The reversal of 102359435536656 is 656635534953201.

The square root of 102359435536656 is 10117284.

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

102359435536656 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 5 + 9 + 4 + 35 + 536 + 65 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56662051856400 + 45697383680256 = 7527420^2 + 6759984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 102359435536593 and 102359435536602.

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, 3763616050 + ... + 3763643246.

Almost surely, 2^{102359435536656} is an apocalyptic number.

102359435536656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102359435536656 is the 10117284-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102359435536656

102359435536656 is an abundant number, since it is smaller than the sum of its proper divisors (193654574280597).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102359435536656 is an frugal number, since it uses more digits than its factorization.

102359435536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54470 (or 27233 counting only the distinct ones).

The product of its (nonzero) digits is 262440000, while the sum is 63.

The spelling of 102359435536656 in words is "one hundred two trillion, three hundred fifty-nine billion, four hundred thirty-five million, five hundred thirty-six thousand, six hundred fifty-six".