102330587830200 has 384 divisors, whose sum is σ = 328669678080000. Its totient is φ = 26310256128000.

The previous prime is 102330587830129. The next prime is 102330587830241. The reversal of 102330587830200 is 2038785033201.

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, 17459575270 + ... + 17459581130.

It is an arithmetic number, because the mean of its divisors is an integer number (855910620000).

Almost surely, 2^{102330587830200} is an apocalyptic number.

102330587830200 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 102330587830200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164334839040000).

102330587830200 is an abundant number, since it is smaller than the sum of its proper divisors (226339090249800).

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

102330587830200 is a wasteful number, since it uses less digits than its factorization.

102330587830200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9223 (or 9214 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 102330587830200 in words is "one hundred two trillion, three hundred thirty billion, five hundred eighty-seven million, eight hundred thirty thousand, two hundred".