105856 has 16 divisors (see below), whose sum is σ = 211140. Its totient is φ = 52864.

The previous prime is 105829. The next prime is 105863. The reversal of 105856 is 658501.

It can be divided in two parts, 105 and 856, that added together give a square (961 = 31^{2}).

105856 is an esthetic number in base 3, because in such base its adjacent digits differ by 1.

It is a tau number, because it is divible by the number of its divisors (16).

It is a super-2 number, since 2×105856^{2} = 22410985472, which contains 22 as substring.

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

It is a self number, because there is not a number *n* which added to its sum of digits gives 105856.

It is a congruent number.

It is an unprimeable number.

105856 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 as a sum of consecutive naturals, namely, 286 + ... + 541.

2^{105856} is an apocalyptic number.

105856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105856 is a deficient number, since it is larger than the sum of its proper divisors (105284).

105856 is an frugal number, since it uses more digits than its factorization.

105856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 841 (or 829 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 25.

The square root of 105856 is about 325.3551905226. The cubic root of 105856 is about 47.3047944519.

The spelling of 105856 in words is "one hundred five thousand, eight hundred fifty-six".

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