100859794560 has 1152 divisors, whose sum is σ = 436097001600. Its totient is φ = 20981514240.

The previous prime is 100859794543. The next prime is 100859794573. The reversal of 100859794560 is 65497958001.

100859794560 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 5 + 9 + 79 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 100859794497 and 100859794506.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 736202812 + ... + 736202948.

It is an arithmetic number, because the mean of its divisors is an integer number (378556425).

Almost surely, 2^100859794560 is an apocalyptic number.

100859794560 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 100859794560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218048500800).

100859794560 is an abundant number, since it is smaller than the sum of its proper divisors (335237207040).

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

100859794560 is a wasteful number, since it uses less digits than its factorization.

100859794560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The spelling of 100859794560 in words is "one hundred billion, eight hundred fifty-nine million, seven hundred ninety-four thousand, five hundred sixty".