105392 has 20 divisors (see below), whose sum is σ = 233616. Its totient is φ = 45120.

The previous prime is 105389. The next prime is 105397. The reversal of 105392 is 293501.

It is a super-2 number, since 2×105392² = 22214947328, which contains 22 as substring.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105392.

It is not an unprimeable number, because it can be changed into a prime (105397) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 359 + ... + 582.

2¹⁰⁵³⁹² is an apocalyptic number.

It is an amenable number.

105392 is an abundant number, since it is smaller than the sum of its proper divisors (128224).

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

105392 is an equidigital number, since it uses as much as digits as its factorization.

105392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 956 (or 950 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 20.

The square root of 105392 is about 324.6413405591. The cubic root of 105392 is about 47.2355759748.

Adding to 105392 its reverse (293501), we get a palindrome (398893).

The spelling of 105392 in words is "one hundred five thousand, three hundred ninety-two".