100023949766160 has 400 divisors, whose sum is σ = 407756727899136. Its totient is φ = 22244708146176.

The previous prime is 100023949766159. The next prime is 100023949766171. The reversal of 100023949766160 is 61667949320001.

100023949766160 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 2 + 39 + 497 + 6 + 61 + 60 = 666.

It is a super-2 number, since 2×100023949766160² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 100023949766097 and 100023949766106.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 28120512 + ... + 31477151.

Almost surely, 2^{100023949766160} is an apocalyptic number.

100023949766160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100023949766160 is an abundant number, since it is smaller than the sum of its proper divisors (307732778132976).

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

100023949766160 is a wasteful number, since it uses less digits than its factorization.

100023949766160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59597732 (or 59597717 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 100023949766160 in words is "one hundred trillion, twenty-three billion, nine hundred forty-nine million, seven hundred sixty-six thousand, one hundred sixty".