110112111306 has 96 divisors (see below), whose sum is σ = 254564940240. Its totient is φ = 34278709248.

The previous prime is 110112111299. The next prime is 110112111311. The reversal of 110112111306 is 603111211011.

It can be written as a sum of positive squares in 8 ways, for example, as 88560403281 + 21551708025 = 297591^2 + 146805^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22210980 + ... + 22215936.

Almost surely, 2^110112111306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110112111306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127282470120).

110112111306 is an abundant number, since it is smaller than the sum of its proper divisors (144452828934).

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

110112111306 is a wasteful number, since it uses less digits than its factorization.

110112111306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528 (or 5525 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 18.

Adding to 110112111306 its reverse (603111211011), we get a palindrome (713223322317).

The spelling of 110112111306 in words is "one hundred ten billion, one hundred twelve million, one hundred eleven thousand, three hundred six".