105956 has 6 divisors (see below), whose sum is σ = 185430. Its totient is φ = 52976.

The previous prime is 105953. The next prime is 105967. The reversal of 105956 is 659501.

105956 is nontrivially palindromic in base 6.

It can be written as a sum of positive squares in only one way, i.e., 78400 + 27556 = 280^2 + 166^2 .

It is a super-2 number, since 2×105956² = 22453347872, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 0 + 9⁵ + 5³ + 5³ + 6⁶ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13241 + ... + 13248.

It is an arithmetic number, because the mean of its divisors is an integer number (30905).

2¹⁰⁵⁹⁵⁶ is an apocalyptic number.

It is an amenable number.

105956 is a deficient number, since it is larger than the sum of its proper divisors (79474).

105956 is a wasteful number, since it uses less digits than its factorization.

105956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26493 (or 26491 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 105956 is about 325.5088324454. The cubic root of 105956 is about 47.3196857213.

It can be divided in two parts, 10595 and 6, that added together give a palindrome (10601).

The spelling of 105956 in words is "one hundred five thousand, nine hundred fifty-six".