100855576680 has 256 divisors, whose sum is σ = 311670374400. Its totient is φ = 26101232640.

The previous prime is 100855576667. The next prime is 100855576687. The reversal of 100855576680 is 86675558001.

It is not an unprimeable number, because it can be changed into a prime (100855576687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 207095397 + ... + 207095883.

It is an arithmetic number, because the mean of its divisors is an integer number (1217462400).

Almost surely, 2^100855576680 is an apocalyptic number.

100855576680 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 100855576680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155835187200).

100855576680 is an abundant number, since it is smaller than the sum of its proper divisors (210814797720).

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

100855576680 is a wasteful number, since it uses less digits than its factorization.

100855576680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 51.

The spelling of 100855576680 in words is "one hundred billion, eight hundred fifty-five million, five hundred seventy-six thousand, six hundred eighty".