105605116 has 24 divisors (see below), whose sum is σ = 197285760. Its totient is φ = 49316400.

The previous prime is 105605113. The next prime is 105605147. The reversal of 105605116 is 611506501.

It is a super-2 number, since 2×105605116² = 22304881050746912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4390 + ... + 15181.

It is an arithmetic number, because the mean of its divisors is an integer number (8220240).

Almost surely, 2^105605116 is an apocalyptic number.

It is an amenable number.

105605116 is a deficient number, since it is larger than the sum of its proper divisors (91680644).

105605116 is a wasteful number, since it uses less digits than its factorization.

105605116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19665 (or 19663 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105605116 is about 10276.4349849547. The cubic root of 105605116 is about 472.6739331470.

The spelling of 105605116 in words is "one hundred five million, six hundred five thousand, one hundred sixteen".