101733977568 has 192 divisors, whose sum is σ = 303447513600. Its totient is φ = 29669713920.

The previous prime is 101733977551. The next prime is 101733977593. The reversal of 101733977568 is 865779337101.

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, 1174798 + ... + 1258418.

It is an arithmetic number, because the mean of its divisors is an integer number (1580455800).

Almost surely, 2^101733977568 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 101733977568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151723756800).

101733977568 is an abundant number, since it is smaller than the sum of its proper divisors (201713536032).

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

101733977568 is a wasteful number, since it uses less digits than its factorization.

101733977568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83705 (or 83697 counting only the distinct ones).

The product of its (nonzero) digits is 6667920, while the sum is 57.

The spelling of 101733977568 in words is "one hundred one billion, seven hundred thirty-three million, nine hundred seventy-seven thousand, five hundred sixty-eight".