100864399680 has 504 divisors, whose sum is σ = 383239088232. Its totient is φ = 24330240000.

The previous prime is 100864399661. The next prime is 100864399697. The reversal of 100864399680 is 86993468001.

It can be written as a sum of positive squares in 4 ways, for example, as 669360384 + 100195039296 = 25872^2 + 316536^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 83983080 + ... + 83984280.

Almost surely, 2^100864399680 is an apocalyptic number.

100864399680 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 100864399680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191619544116).

100864399680 is an abundant number, since it is smaller than the sum of its proper divisors (282374688552).

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

100864399680 is a wasteful number, since it uses less digits than its factorization.

100864399680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1487 (or 1463 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 100864399680 in words is "one hundred billion, eight hundred sixty-four million, three hundred ninety-nine thousand, six hundred eighty".