105992 has 8 divisors (see below), whose sum is σ = 198750. Its totient is φ = 52992.

The previous prime is 105983. The next prime is 105997. The reversal of 105992 is 299501.

It is a happy number.

105992 is nontrivially palindromic in base 15.

It can be written as a sum of positive squares in only one way, i.e., 98596 + 7396 = 314^2 + 86^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is a super-2 number, since 2×105992² = 22468608128, which contains 22 as substring.

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 105992.

It is not an unprimeable number, because it can be changed into a prime (105997) by changing a digit.

105992 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 as a sum of consecutive naturals, namely, 6617 + ... + 6632.

2¹⁰⁵⁹⁹² is an apocalyptic number.

It is an amenable number.

105992 is a deficient number, since it is larger than the sum of its proper divisors (92758).

105992 is a wasteful number, since it uses less digits than its factorization.

105992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13255 (or 13251 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 26.

The square root of 105992 is about 325.5641257878. The cubic root of 105992 is about 47.3250442846.

It can be divided in two parts, 10599 and 2, that added together give a palindrome (10601).

The spelling of 105992 in words is "one hundred five thousand, nine hundred ninety-two".