105339 has 16 divisors (see below), whose sum is σ = 157472. Its totient is φ = 62208.

The previous prime is 105337. The next prime is 105341. The reversal of 105339 is 933501.

It is an interprime number because it is at equal distance from previous prime (105337) and next prime (105341).

It is not a de Polignac number, because 105339 - 2¹ = 105337 is a prime.

It is a super-2 number, since 2×105339² = 22192609842, which contains 22 as substring.

It is a D-number.

It is not an unprimeable number, because it can be changed into a prime (105331) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407 + ... + 1479.

It is an arithmetic number, because the mean of its divisors is an integer number (9842).

2¹⁰⁵³³⁹ is an apocalyptic number.

105339 is a deficient number, since it is larger than the sum of its proper divisors (52133).

105339 is a wasteful number, since it uses less digits than its factorization.

105339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 126.

The product of its (nonzero) digits is 405, while the sum is 21.

The square root of 105339 is about 324.5597017499. The cubic root of 105339 is about 47.2276566346.

It can be divided in two parts, 105 and 339, that added together give a palindrome (444).

The spelling of 105339 in words is "one hundred five thousand, three hundred thirty-nine".