105096 has 32 divisors (see below), whose sum is σ = 273600. Its totient is φ = 33600.

The previous prime is 105071. The next prime is 105097. The reversal of 105096 is 690501.

It is a super-2 number, since 2×105096² = 22090338432, which contains 22 as substring.

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

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

105096 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, 621 + ... + 771.

It is an arithmetic number, because the mean of its divisors is an integer number (8550).

2¹⁰⁵⁰⁹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136800).

105096 is an abundant number, since it is smaller than the sum of its proper divisors (168504).

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

105096 is a wasteful number, since it uses less digits than its factorization.

105096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 105096 is about 324.1851322933. The cubic root of 105096 is about 47.1913131576.

Adding to 105096 its reverse (690501), we get a palindrome (795597).

The spelling of 105096 in words is "one hundred five thousand, ninety-six".