105792 has 56 divisors (see below), whose sum is σ = 304800. Its totient is φ = 32256.

The previous prime is 105769. The next prime is 105817. The reversal of 105792 is 297501.

It is a super-2 number, since 2×105792² = 22383894528, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105792.

It is an unprimeable number.

105792 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3634 + ... + 3662.

2¹⁰⁵⁷⁹² is an apocalyptic number.

105792 is a gapful number since it is divisible by the number (12) 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 105792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152400).

105792 is an abundant number, since it is smaller than the sum of its proper divisors (199008).

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

105792 is a wasteful number, since it uses less digits than its factorization.

105792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 105792 is about 325.2568216041. The cubic root of 105792 is about 47.2952591172.

The spelling of 105792 in words is "one hundred five thousand, seven hundred ninety-two".