110112 has 48 divisors (see below), whose sum is σ = 306432. Its totient is φ = 34560.

The previous prime is 110083. The next prime is 110119. The reversal of 110112 is 211011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 110112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110119) by changing a digit.

110112 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2958 + ... + 2994.

It is an arithmetic number, because the mean of its divisors is an integer number (6384).

2¹¹⁰¹¹² is an apocalyptic number.

110112 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 110112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153216).

110112 is an abundant number, since it is smaller than the sum of its proper divisors (196320).

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

110112 is a wasteful number, since it uses less digits than its factorization.

110112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

The square root of 110112 is about 331.8312824313. The cubic root of 110112 is about 47.9304548432.

Adding to 110112 its reverse (211011), we get a palindrome (321123).

Multiplying 110112 by its reverse (211011), we get a palindrome (23234843232).

It can be divided in two parts, 11011 and 2, that multiplied together give a palindrome (22022).

The spelling of 110112 in words is "one hundred ten thousand, one hundred twelve", and thus it is an iban number.