105605055 has 12 divisors (see below), whose sum is σ = 183048840. Its totient is φ = 56322672.

The previous prime is 105605051. The next prime is 105605057. The reversal of 105605055 is 550506501.

105605055 is a `hidden beast` number, since 1 + 0 + 5 + 605 + 0 + 55 = 666.

It is not a de Polignac number, because 105605055 - 2² = 105605051 is a prime.

It is a super-2 number, since 2×105605055² = 22304855283106050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605051) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1173345 + ... + 1173434.

It is an arithmetic number, because the mean of its divisors is an integer number (15254070).

Almost surely, 2^105605055 is an apocalyptic number.

105605055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105605055 is a deficient number, since it is larger than the sum of its proper divisors (77443785).

105605055 is a wasteful number, since it uses less digits than its factorization.

105605055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2346790 (or 2346787 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 105605055 is about 10276.4320169989. The cubic root of 105605055 is about 472.6738421378.

It can be divided in two parts, 10 and 5605055, that added together give a palindrome (5605065).

The spelling of 105605055 in words is "one hundred five million, six hundred five thousand, fifty-five".