101791935168 has 336 divisors, whose sum is σ = 359772508800. Its totient is φ = 25047429120.

The previous prime is 101791935151. The next prime is 101791935169. The reversal of 101791935168 is 861539197101.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 101791935168.

It is not an unprimeable number, because it can be changed into a prime (101791935169) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1940388 + ... + 1992156.

Almost surely, 2^101791935168 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 101791935168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179886254400).

101791935168 is an abundant number, since it is smaller than the sum of its proper divisors (257980573632).

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

101791935168 is a wasteful number, since it uses less digits than its factorization.

101791935168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51828 (or 51811 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 51.

The spelling of 101791935168 in words is "one hundred one billion, seven hundred ninety-one million, nine hundred thirty-five thousand, one hundred sixty-eight".