105059 has 4 divisors (see below), whose sum is σ = 108480. Its totient is φ = 101640.

The previous prime is 105037. The next prime is 105071. The reversal of 105059 is 950501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105059 - 2⁸ = 104803 is a prime.

It is a super-2 number, since 2×105059² = 22074786962, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105059.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105059.

It is not an unprimeable number, because it can be changed into a prime (105019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1664 + ... + 1725.

It is an arithmetic number, because the mean of its divisors is an integer number (27120).

2¹⁰⁵⁰⁵⁹ is an apocalyptic number.

105059 is a deficient number, since it is larger than the sum of its proper divisors (3421).

105059 is an equidigital number, since it uses as much as digits as its factorization.

105059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3420.

The product of its (nonzero) digits is 225, while the sum is 20.

The square root of 105059 is about 324.1280611117. The cubic root of 105059 is about 47.1857744643.

The spelling of 105059 in words is "one hundred five thousand, fifty-nine".