102153096000 has 448 divisors, whose sum is σ = 380124126720. Its totient is φ = 26853120000.

The previous prime is 102153095981. The next prime is 102153096043. The reversal of 102153096000 is 690351201.

102153096000 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 53 + 0 + 9 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15332670 + ... + 15339330.

Almost surely, 2^102153096000 is an apocalyptic number.

102153096000 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 102153096000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190062063360).

102153096000 is an abundant number, since it is smaller than the sum of its proper divisors (277971030720).

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

102153096000 is an equidigital number, since it uses as much as digits as its factorization.

102153096000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6768 (or 6742 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 102153096000 in words is "one hundred two billion, one hundred fifty-three million, ninety-six thousand".