101730927744 has 96 divisors (see below), whose sum is σ = 294494840640. Its totient is φ = 33707189760.

The previous prime is 101730927733. The next prime is 101730927773. The reversal of 101730927744 is 447729037101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 101730927744.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72012 + ... + 456779.

It is an arithmetic number, because the mean of its divisors is an integer number (3067654590).

Almost surely, 2^101730927744 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 101730927744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147247420320).

101730927744 is an abundant number, since it is smaller than the sum of its proper divisors (192763912896).

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

101730927744 is a wasteful number, since it uses less digits than its factorization.

101730927744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 528978 (or 528963 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 101730927744 in words is "one hundred one billion, seven hundred thirty million, nine hundred twenty-seven thousand, seven hundred forty-four".