102005568000 has 960 divisors, whose sum is σ = 435907600128. Its totient is φ = 23290675200.

The previous prime is 102005567941. The next prime is 102005568043. The reversal of 102005568000 is 865500201.

102005568000 is a `hidden beast` number, since 10 + 20 + 0 + 556 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 108863532 + ... + 108864468.

Almost surely, 2^102005568000 is an apocalyptic number.

102005568000 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 102005568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217953800064).

102005568000 is an abundant number, since it is smaller than the sum of its proper divisors (333902032128).

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

102005568000 is an frugal number, since it uses more digits than its factorization.

102005568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 992 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 102005568000 in words is "one hundred two billion, five million, five hundred sixty-eight thousand".