100465920000 has 1440 divisors, whose sum is σ = 419091472800. Its totient is φ = 23887872000.

The previous prime is 100465919989. The next prime is 100465920097. The reversal of 100465920000 is 29564001.

100465920000 is a `hidden beast` number, since 1 + 0 + 0 + 4 + 659 + 2 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5287679991 + ... + 5287680009.

It is an arithmetic number, because the mean of its divisors is an integer number (291035745).

Almost surely, 2^100465920000 is an apocalyptic number.

100465920000 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 100465920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209545736400).

100465920000 is an abundant number, since it is smaller than the sum of its proper divisors (318625552800).

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

100465920000 is an frugal number, since it uses more digits than its factorization.

100465920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 46 counting only the distinct ones).

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

The spelling of 100465920000 in words is "one hundred billion, four hundred sixty-five million, nine hundred twenty thousand".