102533972320836 has 81 divisors (see below), whose sum is σ = 301499954878941. Its totient is φ = 29295299152224.

The previous prime is 102533972320711. The next prime is 102533972320837. The reversal of 102533972320836 is 638023279335201.

The square root of 102533972320836 is 10125906.

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

102533972320836 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 339 + 72 + 3 + 208 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56164082832900 + 46369889487936 = 7494270^2 + 6809544^2 .

It is not an unprimeable number, because it can be changed into a prime (102533972320837) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 425167506 + ... + 425408598.

Almost surely, 2^{102533972320836} is an apocalyptic number.

102533972320836 is the 10125906-th square number.

It is an amenable number.

102533972320836 is an abundant number, since it is smaller than the sum of its proper divisors (198965982558105).

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

102533972320836 is an frugal number, since it uses more digits than its factorization.

102533972320836 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482210 (or 241105 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 102533972320836 in words is "one hundred two trillion, five hundred thirty-three billion, nine hundred seventy-two million, three hundred twenty thousand, eight hundred thirty-six".