105605112 has 16 divisors (see below), whose sum is σ = 264012840. Its totient is φ = 35201696.

The previous prime is 105605107. The next prime is 105605113. The reversal of 105605112 is 211506501.

It is a super-2 number, since 2×105605112² = 22304879361065088, 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 polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2200083 + ... + 2200130.

Almost surely, 2^105605112 is an apocalyptic number.

105605112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105605112 is an abundant number, since it is smaller than the sum of its proper divisors (158407728).

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

105605112 is a wasteful number, since it uses less digits than its factorization.

105605112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400222 (or 4400218 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 21.

The square root of 105605112 is about 10276.4347903346. The cubic root of 105605112 is about 472.6739271792.

The spelling of 105605112 in words is "one hundred five million, six hundred five thousand, one hundred twelve".