105655 has 16 divisors (see below), whose sum is σ = 147744. Its totient is φ = 71680.

The previous prime is 105653. The next prime is 105667. The reversal of 105655 is 556501.

It is not a de Polignac number, because 105655 - 2¹ = 105653 is a prime.

It is a super-2 number, since 2×105655² = 22325958050, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879 + ... + 991.

It is an arithmetic number, because the mean of its divisors is an integer number (9234).

2¹⁰⁵⁶⁵⁵ is an apocalyptic number.

105655 is a deficient number, since it is larger than the sum of its proper divisors (42089).

105655 is a wasteful number, since it uses less digits than its factorization.

105655 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 750, while the sum is 22.

The square root of 105655 is about 325.0461505694. The cubic root of 105655 is about 47.2748346066.

It can be divided in two parts, 10565 and 5, that multiplied together give a palindrome (52825).

The spelling of 105655 in words is "one hundred five thousand, six hundred fifty-five".