106256 has 20 divisors (see below), whose sum is σ = 213900. Its totient is φ = 51072.

The previous prime is 106243. The next prime is 106261. The reversal of 106256 is 652601.

It can be written as a sum of positive squares in 2 ways, for example, as 80656 + 25600 = 284^2 + 160^2 .

It is a super-2 number, since 2×106256² = 22580675072, 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 106256.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350 + ... + 578.

It is an arithmetic number, because the mean of its divisors is an integer number (10695).

2¹⁰⁶²⁵⁶ is an apocalyptic number.

106256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106950).

106256 is an abundant number, since it is smaller than the sum of its proper divisors (107644).

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

106256 is a wasteful number, since it uses less digits than its factorization.

106256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 106256 is about 325.9693237101. The cubic root of 106256 is about 47.3643033891.

Adding to 106256 its sum of digits (20), we get a square (106276 = 326²).

Adding to 106256 its reverse (652601), we get a palindrome (758857).

The spelling of 106256 in words is "one hundred six thousand, two hundred fifty-six".