105135112 has 16 divisors (see below), whose sum is σ = 197246700. Its totient is φ = 52536000.

The previous prime is 105135103. The next prime is 105135119. The reversal of 105135112 is 211531501.

It can be written as a sum of positive squares in 2 ways, for example, as 101727396 + 3407716 = 10086^2 + 1846^2 .

It is a super-2 number, since 2×105135112² = 22106783550505088, 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 105135112.

It is not an unprimeable number, because it can be changed into a prime (105135119) 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, 16362 + ... + 21862.

Almost surely, 2^105135112 is an apocalyptic number.

It is an amenable number.

105135112 is a deficient number, since it is larger than the sum of its proper divisors (92111588).

105135112 is a wasteful number, since it uses less digits than its factorization.

105135112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7896 (or 7892 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 19.

The square root of 105135112 is about 10253.5414369865. The cubic root of 105135112 is about 471.9716659234.

Adding to 105135112 its reverse (211531501), we get a palindrome (316666613).

It can be divided in two parts, 10513 and 5112, that added together give a 6-th power (15625 = 5⁶).

The spelling of 105135112 in words is "one hundred five million, one hundred thirty-five thousand, one hundred twelve".