102399091200 has 720 divisors, whose sum is σ = 437097488256. Its totient is φ = 22383820800.

The previous prime is 102399091181. The next prime is 102399091213. The reversal of 102399091200 is 2190993201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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 (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 18544440 + ... + 18549960.

Almost surely, 2^102399091200 is an apocalyptic number.

102399091200 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 102399091200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218548744128).

102399091200 is an abundant number, since it is smaller than the sum of its proper divisors (334698397056).

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

102399091200 is a wasteful number, since it uses less digits than its factorization.

102399091200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5585 (or 5561 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 36.

The spelling of 102399091200 in words is "one hundred two billion, three hundred ninety-nine million, ninety-one thousand, two hundred".