105639 has 8 divisors (see below), whose sum is σ = 147072. Its totient is φ = 67320.

The previous prime is 105619. The next prime is 105649. The reversal of 105639 is 936501.

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

It is not a de Polignac number, because 105639 - 2⁵ = 105607 is a prime.

It is a super-2 number, since 2×105639² = 22319196642, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105619) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 697 + ... + 834.

It is an arithmetic number, because the mean of its divisors is an integer number (18384).

2¹⁰⁵⁶³⁹ is an apocalyptic number.

105639 is a deficient number, since it is larger than the sum of its proper divisors (41433).

105639 is a wasteful number, since it uses less digits than its factorization.

105639 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1557.

The product of its (nonzero) digits is 810, while the sum is 24.

The square root of 105639 is about 325.0215377479. The cubic root of 105639 is about 47.2724481111.

The spelling of 105639 in words is "one hundred five thousand, six hundred thirty-nine".