105983 has 2 divisors, whose sum is σ = 105984. Its totient is φ = 105982.

The previous prime is 105977. The next prime is 105997. The reversal of 105983 is 389501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105983 - 2⁴ = 105967 is a prime.

It is a super-2 number, since 2×105983² = 22464792578, which contains 22 as substring.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105913) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52991 + 52992.

It is an arithmetic number, because the mean of its divisors is an integer number (52992).

2¹⁰⁵⁹⁸³ is an apocalyptic number.

105983 is a deficient number, since it is larger than the sum of its proper divisors (1).

105983 is an equidigital number, since it uses as much as digits as its factorization.

105983 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1080, while the sum is 26.

The square root of 105983 is about 325.5503033327. The cubic root of 105983 is about 47.3237047575.

It can be divided in two parts, 10598 and 3, that added together give a palindrome (10601).

The spelling of 105983 in words is "one hundred five thousand, nine hundred eighty-three".