105982 has 8 divisors (see below), whose sum is σ = 167400. Its totient is φ = 50184.

The previous prime is 105977. The next prime is 105983. The reversal of 105982 is 289501.

105982 is nontrivially palindromic in base 14.

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

It is a super-2 number, since 2×105982² = 22464368648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105983) by changing a digit.

105982 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 (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1357 + ... + 1432.

It is an arithmetic number, because the mean of its divisors is an integer number (20925).

2¹⁰⁵⁹⁸² is an apocalyptic number.

105982 is a deficient number, since it is larger than the sum of its proper divisors (61418).

105982 is a wasteful number, since it uses less digits than its factorization.

105982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2810.

The product of its (nonzero) digits is 720, while the sum is 25.

The square root of 105982 is about 325.5487674681. The cubic root of 105982 is about 47.3235559165.

The spelling of 105982 in words is "one hundred five thousand, nine hundred eighty-two".