106865 has 16 divisors (see below), whose sum is σ = 146880. Its totient is φ = 73920.

The previous prime is 106861. The next prime is 106867. The reversal of 106865 is 568601.

106865 is nontrivially palindromic in base 12.

It is not a de Polignac number, because 106865 - 2² = 106861 is a prime.

It is a super-2 number, since 2×106865² = 22840256450, which contains 22 as substring.

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106865.

It is not an unprimeable number, because it can be changed into a prime (106861) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1562 + ... + 1628.

It is an arithmetic number, because the mean of its divisors is an integer number (9180).

2¹⁰⁶⁸⁶⁵ is an apocalyptic number.

It is an amenable number.

106865 is a deficient number, since it is larger than the sum of its proper divisors (40015).

106865 is a wasteful number, since it uses less digits than its factorization.

106865 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 106865 is about 326.9021260255. The cubic root of 106865 is about 47.4546196317.

The spelling of 106865 in words is "one hundred six thousand, eight hundred sixty-five".