100760985600 has 672 divisors, whose sum is σ = 385268394816. Its totient is φ = 22963814400.

The previous prime is 100760985593. The next prime is 100760985613. The reversal of 100760985600 is 6589067001.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114892362 + ... + 114893238.

Almost surely, 2^100760985600 is an apocalyptic number.

100760985600 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 100760985600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192634197408).

100760985600 is an abundant number, since it is smaller than the sum of its proper divisors (284507409216).

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

100760985600 is a wasteful number, since it uses less digits than its factorization.

100760985600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 100760985600 in words is "one hundred billion, seven hundred sixty million, nine hundred eighty-five thousand, six hundred".