115106112 has 168 divisors, whose sum is σ = 370405152. Its totient is φ = 33868800.

The previous prime is 115106111. The next prime is 115106113. The reversal of 115106112 is 211601511.

It is a happy number.

115106112 is a `hidden beast` number, since 1 + 1 + 51 + 0 + 611 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (115106111) and next prime (115106113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115106111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 234187 + ... + 234677.

Almost surely, 2^115106112 is an apocalyptic number.

115106112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185202576).

115106112 is an abundant number, since it is smaller than the sum of its proper divisors (255299040).

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

115106112 is a wasteful number, since it uses less digits than its factorization.

115106112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 544 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 18.

The square root of 115106112 is about 10728.7516515203. The cubic root of 115106112 is about 486.4439371956.

Adding to 115106112 its reverse (211601511), we get a palindrome (326707623).

The spelling of 115106112 in words is "one hundred fifteen million, one hundred six thousand, one hundred twelve".