102959345200 has 240 divisors, whose sum is σ = 259338258432. Its totient is φ = 39237120000.

The previous prime is 102959345183. The next prime is 102959345213. The reversal of 102959345200 is 2543959201.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 391480269 + ... + 391480531.

Almost surely, 2^102959345200 is an apocalyptic number.

102959345200 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 102959345200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129669129216).

102959345200 is an abundant number, since it is smaller than the sum of its proper divisors (156378913232).

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

102959345200 is a wasteful number, since it uses less digits than its factorization.

102959345200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 684 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 102959345200 in words is "one hundred two billion, nine hundred fifty-nine million, three hundred forty-five thousand, two hundred".