105879 has 8 divisors (see below), whose sum is σ = 146160. Its totient is φ = 68096.

The previous prime is 105871. The next prime is 105883. The reversal of 105879 is 978501.

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 105879 - 2³ = 105871 is a prime.

It is a super-2 number, since 2×105879² = 22420725282, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 105879.

It is not an unprimeable number, because it can be changed into a prime (105871) 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, 522 + ... + 695.

It is an arithmetic number, because the mean of its divisors is an integer number (18270).

2¹⁰⁵⁸⁷⁹ is an apocalyptic number.

105879 is a deficient number, since it is larger than the sum of its proper divisors (40281).

105879 is a wasteful number, since it uses less digits than its factorization.

105879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249.

The product of its (nonzero) digits is 2520, while the sum is 30.

The square root of 105879 is about 325.3905345888. The cubic root of 105879 is about 47.3082202741.

The spelling of 105879 in words is "one hundred five thousand, eight hundred seventy-nine".