100906585920 has 1008 divisors, whose sum is σ = 425731033728. Its totient is φ = 22678548480.

The previous prime is 100906585909. The next prime is 100906585937. The reversal of 100906585920 is 29585609001.

100906585920 is a `hidden beast` number, since 1 + 0 + 0 + 9 + 0 + 6 + 58 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 270526854 + ... + 270527226.

It is an arithmetic number, because the mean of its divisors is an integer number (422352216).

Almost surely, 2^100906585920 is an apocalyptic number.

100906585920 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 100906585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212865516864).

100906585920 is an abundant number, since it is smaller than the sum of its proper divisors (324824447808).

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

100906585920 is an equidigital number, since it uses as much as digits as its factorization.

100906585920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 100906585920 in words is "one hundred billion, nine hundred six million, five hundred eighty-five thousand, nine hundred twenty".