110006112 has 24 divisors (see below), whose sum is σ = 288766296. Its totient is φ = 36668672.

The previous prime is 110006107. The next prime is 110006131. The reversal of 110006112 is 211600011.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (12).

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 3 ways as a sum of consecutive naturals, for example, 572853 + ... + 573044.

It is an arithmetic number, because the mean of its divisors is an integer number (12031929).

Almost surely, 2^110006112 is an apocalyptic number.

110006112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

110006112 is an abundant number, since it is smaller than the sum of its proper divisors (178760184).

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

110006112 is a wasteful number, since it uses less digits than its factorization.

110006112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145910 (or 1145902 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 12.

The square root of 110006112 is about 10488.3798558214. The cubic root of 110006112 is about 479.1508598323.

Adding to 110006112 its reverse (211600011), we get a palindrome (321606123).

The spelling of 110006112 in words is "one hundred ten million, six thousand, one hundred twelve".