100256 has 24 divisors (see below), whose sum is σ = 213444. Its totient is φ = 46080.

The previous prime is 100237. The next prime is 100267. The reversal of 100256 is 652001.

It can be written as a sum of positive squares in 2 ways, for example, as 99856 + 400 = 316^2 + 20^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100256.

It is an unprimeable number.

100256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 3 ways as a sum of consecutive naturals, for example, 296 + ... + 536.

2¹⁰⁰²⁵⁶ is an apocalyptic number.

100256 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 100256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106722).

100256 is an abundant number, since it is smaller than the sum of its proper divisors (113188).

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

100256 is a wasteful number, since it uses less digits than its factorization.

100256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 100256 is about 316.6322788346. The cubic root of 100256 is about 46.4554628098.

Adding to 100256 its reverse (652001), we get a palindrome (752257).

It can be divided in two parts, 100 and 256, that multiplied together give a square (25600 = 160²).

The spelling of 100256 in words is "one hundred thousand, two hundred fifty-six".