105296 has 10 divisors (see below), whose sum is σ = 204042. Its totient is φ = 52640.

The previous prime is 105277. The next prime is 105319. The reversal of 105296 is 692501.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 26896 = 280^2 + 164^2 .

It is a super-2 number, since 2×105296² = 22174495232, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

105296 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 3275 + ... + 3306.

2¹⁰⁵²⁹⁶ is an apocalyptic number.

105296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105296 is a deficient number, since it is larger than the sum of its proper divisors (98746).

105296 is an equidigital number, since it uses as much as digits as its factorization.

105296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6589 (or 6583 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 23.

The square root of 105296 is about 324.4934513977. The cubic root of 105296 is about 47.2212295575.

Adding to 105296 its reverse (692501), we get a palindrome (797797).

The spelling of 105296 in words is "one hundred five thousand, two hundred ninety-six".