101768193984 has 224 divisors, whose sum is σ = 300593272320. Its totient is φ = 30197809152.

The previous prime is 101768193979. The next prime is 101768193991. The reversal of 101768193984 is 489391867101.

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 31 ways as a sum of consecutive naturals, for example, 59968624 + ... + 59970320.

Almost surely, 2^101768193984 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 101768193984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150296636160).

101768193984 is an abundant number, since it is smaller than the sum of its proper divisors (198825078336).

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

101768193984 is a wasteful number, since it uses less digits than its factorization.

101768193984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715 (or 2705 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 57.

The spelling of 101768193984 in words is "one hundred one billion, seven hundred sixty-eight million, one hundred ninety-three thousand, nine hundred eighty-four".