102929963929 has 81 divisors (see below), whose sum is σ = 124019070903. Its totient is φ = 85375914624.

The previous prime is 102929963909. The next prime is 102929963933. The reversal of 102929963929 is 929369929201.

The square root of 102929963929 is 320827.

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 42364753929 + 60565210000 = 205827^2 + 246100^2 .

It is not a de Polignac number, because 102929963929 - 2¹⁷ = 102929832857 is a prime.

It is a super-2 number, since 2×102929963929² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102929963909) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 2781890899 + ... + 2781890935.

Almost surely, 2^102929963929 is an apocalyptic number.

102929963929 is the 320827-th square number.

102929963929 is the 160414-th centered octagonal number.

It is an amenable number.

102929963929 is a deficient number, since it is larger than the sum of its proper divisors (21089106974).

102929963929 is an equidigital number, since it uses as much as digits as its factorization.

102929963929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 8503056, while the sum is 61.

The spelling of 102929963929 in words is "one hundred two billion, nine hundred twenty-nine million, nine hundred sixty-three thousand, nine hundred twenty-nine".