105826 has 8 divisors (see below), whose sum is σ = 181440. Its totient is φ = 45348.

The previous prime is 105817. The next prime is 105829. The reversal of 105826 is 628501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105826² = 22398284552, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105797 and 105806.

It is not an unprimeable number, because it can be changed into a prime (105829) by changing a digit.

105826 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 in 3 ways as a sum of consecutive naturals, for example, 3766 + ... + 3793.

It is an arithmetic number, because the mean of its divisors is an integer number (22680).

2¹⁰⁵⁸²⁶ is an apocalyptic number.

105826 is a deficient number, since it is larger than the sum of its proper divisors (75614).

105826 is an equidigital number, since it uses as much as digits as its factorization.

105826 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7568.

The product of its (nonzero) digits is 480, while the sum is 22.

The square root of 105826 is about 325.3090837957. The cubic root of 105826 is about 47.3003252424.

The spelling of 105826 in words is "one hundred five thousand, eight hundred twenty-six".