110313312 has 48 divisors (see below), whose sum is σ = 292163760. Its totient is φ = 36442112.

The previous prime is 110313271. The next prime is 110313331. The reversal of 110313312 is 213313011.

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

It is a junction number, because it is equal to n+sod(n) for n = 110313291 and 110313300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5764 + ... + 15932.

It is an arithmetic number, because the mean of its divisors is an integer number (6086745).

Almost surely, 2^110313312 is an apocalyptic number.

110313312 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 110313312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146081880).

110313312 is an abundant number, since it is smaller than the sum of its proper divisors (181850448).

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

110313312 is a wasteful number, since it uses less digits than its factorization.

110313312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10295 (or 10287 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 110313312 is about 10503.0144244403. The cubic root of 110313312 is about 479.5964664019.

Adding to 110313312 its reverse (213313011), we get a palindrome (323626323).

The spelling of 110313312 in words is "one hundred ten million, three hundred thirteen thousand, three hundred twelve".