105859 has 8 divisors (see below), whose sum is σ = 120960. Its totient is φ = 91776.

The previous prime is 105829. The next prime is 105863. The reversal of 105859 is 958501.

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

It is a cyclic number.

It is not a de Polignac number, because 105859 - 2¹¹ = 103811 is a prime.

It is a super-2 number, since 2×105859² = 22412255762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105829) 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, 19 + ... + 460.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹⁰⁵⁸⁵⁹ is an apocalyptic number.

105859 is a deficient number, since it is larger than the sum of its proper divisors (15101).

105859 is a wasteful number, since it uses less digits than its factorization.

105859 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509.

The product of its (nonzero) digits is 1800, while the sum is 28.

The square root of 105859 is about 325.3598008359. The cubic root of 105859 is about 47.3052413264.

The spelling of 105859 in words is "one hundred five thousand, eight hundred fifty-nine".