100864319080 has 256 divisors, whose sum is σ = 283233646080. Its totient is φ = 31542411264.

The previous prime is 100864319069. The next prime is 100864319081. The reversal of 100864319080 is 80913468001.

It is a super-2 number, since 2×100864319080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (100864319081) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20936832 + ... + 20941648.

It is an arithmetic number, because the mean of its divisors is an integer number (1106381430).

Almost surely, 2^100864319080 is an apocalyptic number.

100864319080 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 100864319080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141616823040).

100864319080 is an abundant number, since it is smaller than the sum of its proper divisors (182369327000).

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

100864319080 is a wasteful number, since it uses less digits than its factorization.

100864319080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4988 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 40.

The spelling of 100864319080 in words is "one hundred billion, eight hundred sixty-four million, three hundred nineteen thousand, eighty".