102296985921 has 81 divisors (see below), whose sum is σ = 163940222979. Its totient is φ = 61439792544.

The previous prime is 102296985913. The next prime is 102296985953. The reversal of 102296985921 is 129589692201.

The square root of 102296985921 is 319839.

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., 15132690225 + 87164295696 = 123015^2 + 295236^2 .

It is not a de Polignac number, because 102296985921 - 2³ = 102296985913 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (102296965921) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 735949470 + ... + 735949608.

Almost surely, 2^102296985921 is an apocalyptic number.

102296985921 is the 319839-th square number.

102296985921 is the 159920-th centered octagonal number.

It is an amenable number.

102296985921 is a deficient number, since it is larger than the sum of its proper divisors (61643237058).

102296985921 is an equidigital number, since it uses as much as digits as its factorization.

102296985921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 102296985921 in words is "one hundred two billion, two hundred ninety-six million, nine hundred eighty-five thousand, nine hundred twenty-one".