105256 has 16 divisors (see below), whose sum is σ = 201600. Its totient is φ = 51504.

The previous prime is 105253. The next prime is 105263. The reversal of 105256 is 652501.

It is a happy number.

It is a super-2 number, since 2×105256² = 22157651072, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (105251) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 361 + ... + 583.

It is an arithmetic number, because the mean of its divisors is an integer number (12600).

2¹⁰⁵²⁵⁶ is an apocalyptic number.

It is an amenable number.

105256 is a deficient number, since it is larger than the sum of its proper divisors (96344).

105256 is a wasteful number, since it uses less digits than its factorization.

105256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105256 is about 324.4318110174. The cubic root of 105256 is about 47.2152493100.

Adding to 105256 its reverse (652501), we get a palindrome (757757).

It can be divided in two parts, 105 and 256, that added together give a square (361 = 19²).

The spelling of 105256 in words is "one hundred five thousand, two hundred fifty-six".