256100 has 36 divisors (see below), whose sum is σ = 601524. Its totient is φ = 94080.

The previous prime is 256093. The next prime is 256117. The reversal of 256100 is 1652.

256100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 64 + 256036 = 8^2 + 506^2 .

It is an unprimeable number.

256100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1202 + ... + 1398.

It is an arithmetic number, because the mean of its divisors is an integer number (16709).

2²⁵⁶¹⁰⁰ is an apocalyptic number.

256100 is a gapful number since it is divisible by the number (20) 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 256100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300762).

256100 is an abundant number, since it is smaller than the sum of its proper divisors (345424).

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

256100 is a wasteful number, since it uses less digits than its factorization.

256100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 217 counting only the distinct ones).

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

The square root of 256100 is about 506.0632371552. The cubic root of 256100 is about 63.5043087162.

Adding to 256100 its reverse (1652), we get a palindrome (257752).

The spelling of 256100 in words is "two hundred fifty-six thousand, one hundred".