102005946000 has 960 divisors, whose sum is σ = 447658848000. Its totient is φ = 22077619200.

The previous prime is 102005945989. The next prime is 102005946043. The reversal of 102005946000 is 649500201.

102005946000 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 0 + 59 + 4 + 600 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 50272986 + ... + 50275014.

It is an arithmetic number, because the mean of its divisors is an integer number (466311300).

Almost surely, 2^102005946000 is an apocalyptic number.

102005946000 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 102005946000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223829424000).

102005946000 is an abundant number, since it is smaller than the sum of its proper divisors (345652902000).

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

102005946000 is a wasteful number, since it uses less digits than its factorization.

102005946000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 102005946000 in words is "one hundred two billion, five million, nine hundred forty-six thousand".