100941686784 has 576 divisors, whose sum is σ = 318745627200. Its totient is φ = 31882346496.

The previous prime is 100941686767. The next prime is 100941686819. The reversal of 100941686784 is 487686149001.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 100941686784.

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, 1134176212 + ... + 1134176300.

It is an arithmetic number, because the mean of its divisors is an integer number (553377825).

Almost surely, 2^100941686784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100941686784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159372813600).

100941686784 is an abundant number, since it is smaller than the sum of its proper divisors (217803940416).

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

100941686784 is an frugal number, since it uses more digits than its factorization.

100941686784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 190 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 100941686784 in words is "one hundred billion, nine hundred forty-one million, six hundred eighty-six thousand, seven hundred eighty-four".