102159523200 has 768 divisors, whose sum is σ = 404792663040. Its totient is φ = 22140518400.

The previous prime is 102159523199. The next prime is 102159523229. The reversal of 102159523200 is 2325951201.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 242658990 + ... + 242659410.

It is an arithmetic number, because the mean of its divisors is an integer number (527073780).

Almost surely, 2^102159523200 is an apocalyptic number.

102159523200 is a gapful number since it is divisible by the number (10) 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 102159523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202396331520).

102159523200 is an abundant number, since it is smaller than the sum of its proper divisors (302633139840).

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

102159523200 is a wasteful number, since it uses less digits than its factorization.

102159523200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 618 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 102159523200 in words is "one hundred two billion, one hundred fifty-nine million, five hundred twenty-three thousand, two hundred".