105457732576 has 144 divisors (see below), whose sum is σ = 243659404800. Its totient is φ = 44797148928.

The previous prime is 105457732477. The next prime is 105457732591. The reversal of 105457732576 is 675237754501.

It is a super-2 number, since 2×105457732576² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 170367595 + ... + 170368213.

It is an arithmetic number, because the mean of its divisors is an integer number (1692079200).

Almost surely, 2^105457732576 is an apocalyptic number.

105457732576 is a gapful number since it is divisible by the number (16) 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 105457732576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121829702400).

105457732576 is an abundant number, since it is smaller than the sum of its proper divisors (138201672224).

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

105457732576 is a wasteful number, since it uses less digits than its factorization.

105457732576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1429 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 6174000, while the sum is 52.

The spelling of 105457732576 in words is "one hundred five billion, four hundred fifty-seven million, seven hundred thirty-two thousand, five hundred seventy-six".