100860695815680 has 960 divisors, whose sum is σ = 369713970362880. Its totient is φ = 25360298016768.

The previous prime is 100860695815667. The next prime is 100860695815697. The reversal of 100860695815680 is 86518596068001.

100860695815680 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 6 + 0 + 69 + 5 + 8 + 1 + 568 + 0 = 666.

100860695815680 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 16365516279 + ... + 16365522441.

It is an arithmetic number, because the mean of its divisors is an integer number (385118719128).

Almost surely, 2^{100860695815680} is an apocalyptic number.

100860695815680 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 100860695815680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184856985181440).

100860695815680 is an abundant number, since it is smaller than the sum of its proper divisors (268853274547200).

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

100860695815680 is a wasteful number, since it uses less digits than its factorization.

100860695815680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6651 (or 6632 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 63.

The spelling of 100860695815680 in words is "one hundred trillion, eight hundred sixty billion, six hundred ninety-five million, eight hundred fifteen thousand, six hundred eighty".