115112 has 8 divisors (see below), whose sum is σ = 215850. Its totient is φ = 57552.

The previous prime is 115099. The next prime is 115117. The reversal of 115112 is 211511.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 8836 = 326^2 + 94^2 .

It is a tau number, because it is divible by the number of its divisors (8).

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 115093 and 115102.

It is not an unprimeable number, because it can be changed into a prime (115117) by changing a digit.

115112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 7187 + ... + 7202.

2¹¹⁵¹¹² is an apocalyptic number.

It is an amenable number.

115112 is a deficient number, since it is larger than the sum of its proper divisors (100738).

115112 is a wasteful number, since it uses less digits than its factorization.

115112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14395 (or 14391 counting only the distinct ones).

The product of its digits is 10, while the sum is 11.

The square root of 115112 is about 339.2815939599. The cubic root of 115112 is about 48.6452231377.

Adding to 115112 its reverse (211511), we get a palindrome (326623).

It can be divided in two parts, 115 and 112, that multiplied together give a triangular number (12880 = T₁₆₀).

The spelling of 115112 in words is "one hundred fifteen thousand, one hundred twelve".