112106112 has 64 divisors (see below), whose sum is σ = 308080800. Its totient is φ = 36076544.

The previous prime is 112106081. The next prime is 112106119. The reversal of 112106112 is 211601211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 112106091 and 112106100.

It is not an unprimeable number, because it can be changed into a prime (112106119) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6103 + ... + 16169.

Almost surely, 2^112106112 is an apocalyptic number.

112106112 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 112106112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154040400).

112106112 is an abundant number, since it is smaller than the sum of its proper divisors (195974688).

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

112106112 is a wasteful number, since it uses less digits than its factorization.

112106112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10113 (or 10101 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

The square root of 112106112 is about 10588.0173781497. The cubic root of 112106112 is about 482.1806339611.

Adding to 112106112 its reverse (211601211), we get a palindrome (323707323).

The spelling of 112106112 in words is "one hundred twelve million, one hundred six thousand, one hundred twelve".