112106772 has 72 divisors (see below), whose sum is σ = 303803136. Its totient is φ = 34731264.

The previous prime is 112106747. The next prime is 112106773. The reversal of 112106772 is 277601211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112106773) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49693 + ... + 51899.

It is an arithmetic number, because the mean of its divisors is an integer number (4219488).

Almost surely, 2^112106772 is an apocalyptic number.

112106772 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 112106772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151901568).

112106772 is an abundant number, since it is smaller than the sum of its proper divisors (191696364).

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

112106772 is a wasteful number, since it uses less digits than its factorization.

112106772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2317 (or 2312 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 112106772 is about 10588.0485454119. The cubic root of 112106772 is about 482.1815802032.

Adding to 112106772 its reverse (277601211), we get a palindrome (389707983).

The spelling of 112106772 in words is "one hundred twelve million, one hundred six thousand, seven hundred seventy-two".