105704112 has 20 divisors (see below), whose sum is σ = 273069080. Its totient is φ = 35234688.

The previous prime is 105704111. The next prime is 105704117. The reversal of 105704112 is 211407501.

It is a happy number.

It is a super-2 number, since 2×105704112² = 22346718587417088, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105704111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1101037 + ... + 1101132.

It is an arithmetic number, because the mean of its divisors is an integer number (13653454).

Almost surely, 2^105704112 is an apocalyptic number.

105704112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105704112 is an abundant number, since it is smaller than the sum of its proper divisors (167364968).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105704112 is a wasteful number, since it uses less digits than its factorization.

105704112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2202180 (or 2202174 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 105704112 is about 10281.2505075988. The cubic root of 105704112 is about 472.8215845002.

The spelling of 105704112 in words is "one hundred five million, seven hundred four thousand, one hundred twelve".