101750564720 has 120 divisors (see below), whose sum is σ = 285345067104. Its totient is φ = 33049741824.

The previous prime is 101750564719. The next prime is 101750564743. The reversal of 101750564720 is 27465057101.

101750564720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49499 + ... + 453818.

Almost surely, 2^101750564720 is an apocalyptic number.

101750564720 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 101750564720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142672533552).

101750564720 is an abundant number, since it is smaller than the sum of its proper divisors (183594502384).

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

101750564720 is a wasteful number, since it uses less digits than its factorization.

101750564720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503375 (or 503350 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 38.

The spelling of 101750564720 in words is "one hundred one billion, seven hundred fifty million, five hundred sixty-four thousand, seven hundred twenty".