105556 has 12 divisors (see below), whose sum is σ = 201600. Its totient is φ = 47960.

The previous prime is 105541. The next prime is 105557. The reversal of 105556 is 655501.

105556 = T₁₃₃ + T₁₃₄ + ... + T₁₄₃.

It is a super-2 number, since 2×105556² = 22284138272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105557) by changing a digit.

105556 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 3 ways as a sum of consecutive naturals, for example, 1156 + ... + 1243.

It is an arithmetic number, because the mean of its divisors is an integer number (16800).

2¹⁰⁵⁵⁵⁶ is an apocalyptic number.

It is an amenable number.

105556 is a deficient number, since it is larger than the sum of its proper divisors (96044).

105556 is a wasteful number, since it uses less digits than its factorization.

105556 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2412 counting only the distinct ones).

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

The square root of 105556 is about 324.8938288118. The cubic root of 105556 is about 47.2600642970.

Multiplying 105556 by its sum of digits (22), we get a palindrome (2322232).

Subtracting 105556 from its reverse (655501), we obtain a palindrome (549945).

It can be divided in two parts, 1055 and 56, that added together give a palindrome (1111).

The spelling of 105556 in words is "one hundred five thousand, five hundred fifty-six".