106879 has 4 divisors (see below), whose sum is σ = 113184. Its totient is φ = 100576.

The previous prime is 106877. The next prime is 106903. The reversal of 106879 is 978601.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 978601 = 13 ⋅75277.

It is a cyclic number.

It is not a de Polignac number, because 106879 - 2¹ = 106877 is a prime.

It is a super-2 number, since 2×106879² = 22846241282, which contains 22 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

106879 is a lucky number.

It is a nialpdrome in base 11.

It is a self number, because there is not a number n which added to its sum of digits gives 106879.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106871) 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 3 ways as a sum of consecutive naturals, for example, 3127 + ... + 3160.

It is an arithmetic number, because the mean of its divisors is an integer number (28296).

2¹⁰⁶⁸⁷⁹ is an apocalyptic number.

106879 is a deficient number, since it is larger than the sum of its proper divisors (6305).

106879 is an equidigital number, since it uses as much as digits as its factorization.

106879 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6304.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 106879 is about 326.9235384612. The cubic root of 106879 is about 47.4566918277.

It can be divided in two parts, 10 and 6879, that added together give a square (6889 = 83²).

The spelling of 106879 in words is "one hundred six thousand, eight hundred seventy-nine".