106856 has 24 divisors (see below), whose sum is σ = 217170. Its totient is φ = 49248.

The previous prime is 106853. The next prime is 106859. The reversal of 106856 is 658601.

106856 is nontrivially palindromic in base 6.

It is an interprime number because it is at equal distance from previous prime (106853) and next prime (106859).

It can be written as a sum of positive squares in only one way, i.e., 70756 + 36100 = 266^2 + 190^2 .

It is a super-2 number, since 2×106856² = 22836409472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2870 + ... + 2906.

2¹⁰⁶⁸⁵⁶ is an apocalyptic number.

It is an amenable number.

106856 is an abundant number, since it is smaller than the sum of its proper divisors (110314).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106856 is a wasteful number, since it uses less digits than its factorization.

106856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 58 counting only the distinct ones).

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

The square root of 106856 is about 326.8883601476. Note that the first 3 decimals coincide. The cubic root of 106856 is about 47.4532874102.

The spelling of 106856 in words is "one hundred six thousand, eight hundred fifty-six".