111306 has 16 divisors (see below), whose sum is σ = 239904. Its totient is φ = 34224.

The previous prime is 111301. The next prime is 111317. The reversal of 111306 is 603111.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 111291 and 111300.

It is not an unprimeable number, because it can be changed into a prime (111301) by changing a digit.

111306 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636 + ... + 791.

It is an arithmetic number, because the mean of its divisors is an integer number (14994).

2¹¹¹³⁰⁶ is an apocalyptic number.

111306 is an abundant number, since it is smaller than the sum of its proper divisors (128598).

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

111306 is a wasteful number, since it uses less digits than its factorization.

111306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445.

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 111306 is about 333.6255385908. The cubic root of 111306 is about 48.1030771008.

Adding to 111306 its reverse (603111), we get a palindrome (714417).

The spelling of 111306 in words is "one hundred eleven thousand, three hundred six".