112277844 has 72 divisors (see below), whose sum is σ = 332299968. Its totient is φ = 31294080.

The previous prime is 112277839. The next prime is 112277857. The reversal of 112277844 is 448772211.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 112277799 and 112277808.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4899 + ... + 15765.

Almost surely, 2^112277844 is an apocalyptic number.

112277844 is a gapful number since it is divisible by the number (14) 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 112277844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166149984).

112277844 is an abundant number, since it is smaller than the sum of its proper divisors (220022124).

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

112277844 is a wasteful number, since it uses less digits than its factorization.

112277844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10925 (or 10920 counting only the distinct ones).

The product of its digits is 25088, while the sum is 36.

The square root of 112277844 is about 10596.1240083344. The cubic root of 112277844 is about 482.4267210432.

The spelling of 112277844 in words is "one hundred twelve million, two hundred seventy-seven thousand, eight hundred forty-four".