105092 has 24 divisors (see below), whose sum is σ = 206976. Its totient is φ = 46368.

The previous prime is 105071. The next prime is 105097. The reversal of 105092 is 290501.

105092 is nontrivially palindromic in base 6 and base 15.

105092 is an esthetic number in base 15, because in such base its adjacent digits differ by 1.

It is a super-2 number, since 2×105092² = 22088656928, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a house number.

105092 is an undulating number in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 105092.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105092.

It is not an unprimeable number, because it can be changed into a prime (105097) by changing a digit.

105092 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, 2213 + ... + 2259.

It is an arithmetic number, because the mean of its divisors is an integer number (8624).

2¹⁰⁵⁰⁹² is an apocalyptic number.

It is an amenable number.

105092 is a deficient number, since it is larger than the sum of its proper divisors (101884).

105092 is a wasteful number, since it uses less digits than its factorization.

105092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 105092 is about 324.1789629202. The cubic root of 105092 is about 47.1907144427.

Adding to 105092 its reverse (290501), we get a palindrome (395593).

The spelling of 105092 in words is "one hundred five thousand, ninety-two".