102629248164 has 81 divisors (see below), whose sum is σ = 262396958187. Its totient is φ = 33822116208.

The previous prime is 102629248159. The next prime is 102629248171. The reversal of 102629248164 is 461842926201.

It is a happy number.

The square root of 102629248164 is 320358.

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

102629248164 is a `hidden beast` number, since 1 + 0 + 2 + 629 + 2 + 4 + 8 + 16 + 4 = 666.

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, 205669587 + ... + 205670085.

Almost surely, 2^102629248164 is an apocalyptic number.

102629248164 is the 320358-th square number.

It is an amenable number.

102629248164 is an abundant number, since it is smaller than the sum of its proper divisors (159767710023).

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

102629248164 is an equidigital number, since it uses as much as digits as its factorization.

102629248164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1222 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 102629248164 in words is "one hundred two billion, six hundred twenty-nine million, two hundred forty-eight thousand, one hundred sixty-four".