100243162656 has 384 divisors, whose sum is σ = 367517122560. Its totient is φ = 25874297856.

The previous prime is 100243162589. The next prime is 100243162709. The reversal of 100243162656 is 656261342001.

100243162656 is a `hidden beast` number, since 1 + 0 + 0 + 24 + 3 + 1 + 626 + 5 + 6 = 666.

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 100243162656.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3681765 + ... + 3708891.

It is an arithmetic number, because the mean of its divisors is an integer number (957075840).

Almost surely, 2^100243162656 is an apocalyptic number.

100243162656 is a gapful number since it is divisible by the number (16) 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 100243162656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183758561280).

100243162656 is an abundant number, since it is smaller than the sum of its proper divisors (267273959904).

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

100243162656 is a wasteful number, since it uses less digits than its factorization.

100243162656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27213 (or 27199 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 100243162656 in words is "one hundred billion, two hundred forty-three million, one hundred sixty-two thousand, six hundred fifty-six".