105709712 has 20 divisors (see below), whose sum is σ = 205520700. Its totient is φ = 52672128.

The previous prime is 105709697. The next prime is 105709717. The reversal of 105709712 is 217907501.

It can be written as a sum of positive squares in 2 ways, for example, as 102900736 + 2808976 = 10144^2 + 1676^2 .

It is a super-2 number, since 2×105709712² = 22349086422245888, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105709717) 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, 6587 + ... + 15962.

It is an arithmetic number, because the mean of its divisors is an integer number (10276035).

Almost surely, 2^105709712 is an apocalyptic number.

It is an amenable number.

105709712 is a deficient number, since it is larger than the sum of its proper divisors (99810988).

105709712 is a wasteful number, since it uses less digits than its factorization.

105709712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22850 (or 22844 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 32.

The square root of 105709712 is about 10281.5228444039. The cubic root of 105709712 is about 472.8299340780.

The spelling of 105709712 in words is "one hundred five million, seven hundred nine thousand, seven hundred twelve".