105079 has 8 divisors (see below), whose sum is σ = 115920. Its totient is φ = 94656.

The previous prime is 105071. The next prime is 105097. The reversal of 105079 is 970501.

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 105079 - 2³ = 105071 is a prime.

It is a super-2 number, since 2×105079² = 22083192482, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 699 + ... + 835.

It is an arithmetic number, because the mean of its divisors is an integer number (14490).

2¹⁰⁵⁰⁷⁹ is an apocalyptic number.

105079 is a deficient number, since it is larger than the sum of its proper divisors (10841).

105079 is a wasteful number, since it uses less digits than its factorization.

105079 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 105079 is about 324.1589116467. The cubic root of 105079 is about 47.1887685141.

The spelling of 105079 in words is "one hundred five thousand, seventy-nine".