102159900864 has 840 divisors, whose sum is σ = 369988185600. Its totient is φ = 27762932736.

The previous prime is 102159900749. The next prime is 102159900919. The reversal of 102159900864 is 468009951201.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 513366237 + ... + 513366435.

Almost surely, 2^102159900864 is an apocalyptic number.

102159900864 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102159900864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184994092800).

102159900864 is an abundant number, since it is smaller than the sum of its proper divisors (267828284736).

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

102159900864 is a wasteful number, since it uses less digits than its factorization.

102159900864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 102159900864 in words is "one hundred two billion, one hundred fifty-nine million, nine hundred thousand, eight hundred sixty-four".