4109112 has 96 divisors (see below), whose sum is σ = 13178880. Its totient is φ = 1131840.

The previous prime is 4109107. The next prime is 4109113. The reversal of 4109112 is 2119014.

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 (4109113) by changing a digit.

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, 15493 + ... + 15755.

It is an arithmetic number, because the mean of its divisors is an integer number (137280).

Almost surely, 2^4109112 is an apocalyptic number.

4109112 is a gapful number since it is divisible by the number (42) 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 4109112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6589440).

4109112 is an abundant number, since it is smaller than the sum of its proper divisors (9069768).

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

4109112 is a wasteful number, since it uses less digits than its factorization.

4109112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 4109112 is about 2027.0944723915. The cubic root of 4109112 is about 160.1705473122.

The spelling of 4109112 in words is "four million, one hundred nine thousand, one hundred twelve".