100191036456 has 352 divisors, whose sum is σ = 330341860800. Its totient is φ = 27890023680.

The previous prime is 100191036419. The next prime is 100191036461. The reversal of 100191036456 is 654630191001.

100191036456 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 1 + 0 + 3 + 645 + 6 = 666.

It is a super-2 number, since 2×100191036456² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100191036456.

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 87 ways as a sum of consecutive naturals, for example, 135576135 + ... + 135576873.

Almost surely, 2^100191036456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100191036456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165170930400).

100191036456 is an abundant number, since it is smaller than the sum of its proper divisors (230150824344).

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

100191036456 is an frugal number, since it uses more digits than its factorization.

100191036456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 823 (or 792 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The spelling of 100191036456 in words is "one hundred billion, one hundred ninety-one million, thirty-six thousand, four hundred fifty-six".