105610312 has 16 divisors (see below), whose sum is σ = 198243900. Its totient is φ = 52745280.

The previous prime is 105610283. The next prime is 105610339. The reversal of 105610312 is 213016501.

It can be written as a sum of positive squares in 2 ways, for example, as 98922916 + 6687396 = 9946^2 + 2586^2 .

It is a super-2 number, since 2×105610312² = 22307076001474688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105610312.

It is an unprimeable number.

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, 514 + ... + 14542.

Almost surely, 2^105610312 is an apocalyptic number.

It is an amenable number.

105610312 is a deficient number, since it is larger than the sum of its proper divisors (92633588).

105610312 is a wasteful number, since it uses less digits than its factorization.

105610312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14976 (or 14972 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 105610312 is about 10276.6877932532. The cubic root of 105610312 is about 472.6816852130.

Adding to 105610312 its reverse (213016501), we get a palindrome (318626813).

The spelling of 105610312 in words is "one hundred five million, six hundred ten thousand, three hundred twelve".