100796866560 has 1344 divisors, whose sum is σ = 420778350720. Its totient is φ = 22932357120.

The previous prime is 100796866549. The next prime is 100796866561. The reversal of 100796866560 is 65668697001.

100796866560 is a `hidden beast` number, since 1 + 0 + 0 + 79 + 6 + 8 + 6 + 6 + 560 = 666.

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 = 100796866497 and 100796866506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100796866561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2458460140 + ... + 2458460180.

It is an arithmetic number, because the mean of its divisors is an integer number (313079130).

Almost surely, 2^100796866560 is an apocalyptic number.

100796866560 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 100796866560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210389175360).

100796866560 is an abundant number, since it is smaller than the sum of its proper divisors (319981484160).

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

100796866560 is an equidigital number, since it uses as much as digits as its factorization.

100796866560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 83 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 100796866560 in words is "one hundred billion, seven hundred ninety-six million, eight hundred sixty-six thousand, five hundred sixty".