102513097800 has 432 divisors, whose sum is σ = 376868222640. Its totient is φ = 25893613440.

The previous prime is 102513097789. The next prime is 102513097831. The reversal of 102513097800 is 8790315201.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 17541679 + ... + 17547521.

It is an arithmetic number, because the mean of its divisors is an integer number (872380145).

Almost surely, 2^102513097800 is an apocalyptic number.

102513097800 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 102513097800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188434111320).

102513097800 is an abundant number, since it is smaller than the sum of its proper divisors (274355124840).

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

102513097800 is a wasteful number, since it uses less digits than its factorization.

102513097800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5912 (or 5872 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 102513097800 in words is "one hundred two billion, five hundred thirteen million, ninety-seven thousand, eight hundred".