105682 has 8 divisors (see below), whose sum is σ = 161676. Its totient is φ = 51792.

The previous prime is 105673. The next prime is 105683. The reversal of 105682 is 286501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95481 + 10201 = 309^2 + 101^2 .

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

It is a super-2 number, since 2×105682² = 22337370248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105683) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 393 + ... + 604.

2¹⁰⁵⁶⁸² is an apocalyptic number.

105682 is a deficient number, since it is larger than the sum of its proper divisors (55994).

105682 is an equidigital number, since it uses as much as digits as its factorization.

105682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052.

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

The square root of 105682 is about 325.0876804802. The cubic root of 105682 is about 47.2788612715.

It can be divided in two parts, 105 and 682, that added together give a palindrome (787).

The spelling of 105682 in words is "one hundred five thousand, six hundred eighty-two".