111366 has 24 divisors (see below), whose sum is σ = 252720. Its totient is φ = 35376.

The previous prime is 111347. The next prime is 111373. The reversal of 111366 is 663111.

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

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is an unprimeable number.

111366 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 11 ways as a sum of consecutive naturals, for example, 280 + ... + 548.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2¹¹¹³⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126360).

111366 is an abundant number, since it is smaller than the sum of its proper divisors (141354).

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

111366 is a wasteful number, since it uses less digits than its factorization.

111366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 297 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 111366 is about 333.7154476496. The cubic root of 111366 is about 48.1117189416. Note that the first 3 decimals are identical.

Adding to 111366 its reverse (663111), we get a palindrome (774477).

The spelling of 111366 in words is "one hundred eleven thousand, three hundred sixty-six".