106859 has 2 divisors, whose sum is σ = 106860. Its totient is φ = 106858.

The previous prime is 106853. The next prime is 106861. The reversal of 106859 is 958601.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 106859 - 2¹² = 102763 is a prime.

It is a super-3 number, since 3×106859³ = 3660619355993337, which contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 106861, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106853) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53429 + 53430.

It is an arithmetic number, because the mean of its divisors is an integer number (53430).

2¹⁰⁶⁸⁵⁹ is an apocalyptic number.

106859 is a deficient number, since it is larger than the sum of its proper divisors (1).

106859 is an equidigital number, since it uses as much as digits as its factorization.

106859 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 29.

The square root of 106859 is about 326.8929488380. The cubic root of 106859 is about 47.4537314923.

The spelling of 106859 in words is "one hundred six thousand, eight hundred fifty-nine".