101791679808 has 672 divisors, whose sum is σ = 355791820800. Its totient is φ = 25076293632.

The previous prime is 101791679783. The next prime is 101791679837. The reversal of 101791679808 is 808976197101.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (57).

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, 444505038 + ... + 444505266.

Almost surely, 2^101791679808 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 101791679808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177895910400).

101791679808 is an abundant number, since it is smaller than the sum of its proper divisors (254000140992).

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

101791679808 is a wasteful number, since it uses less digits than its factorization.

101791679808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 57.

The spelling of 101791679808 in words is "one hundred one billion, seven hundred ninety-one million, six hundred seventy-nine thousand, eight hundred eight".