102005956800 has 2016 divisors, whose sum is σ = 460599519744. Its totient is φ = 21897216000.

The previous prime is 102005956799. The next prime is 102005956867. The reversal of 102005956800 is 8659500201.

It is a happy number.

102005956800 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 595 + 68 + 0 + 0 = 666.

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 (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1672228770 + ... + 1672228830.

It is an arithmetic number, because the mean of its divisors is an integer number (228471984).

Almost surely, 2^102005956800 is an apocalyptic number.

102005956800 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 102005956800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230299759872).

102005956800 is an abundant number, since it is smaller than the sum of its proper divisors (358593562944).

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

102005956800 is a wasteful number, since it uses less digits than its factorization.

102005956800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 102005956800 in words is "one hundred two billion, five million, nine hundred fifty-six thousand, eight hundred".