11116 has 12 divisors (see below), whose sum is σ = 22288. Its totient is φ = 4752.

The previous prime is 11113. The next prime is 11117. The reversal of 11116 is 61111.

11116 = T₁₃ + T₁₄ + ... + T₄₀.

11116 is an admirable number.

It is a magnanimous number.

It is a plaindrome in base 10.

It is not an unprimeable number, because it can be changed into a prime (11113) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 171 + ... + 226.

2¹¹¹¹⁶ is an apocalyptic number.

It is an amenable number.

11116 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11144).

11116 is a wasteful number, since it uses less digits than its factorization.

11116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 406 counting only the distinct ones).

The product of its digits is 6, while the sum is 10.

The square root of 11116 is about 105.4324428248. The cubic root of 11116 is about 22.3177039728.

Adding to 11116 its reverse (61111), we get a palindrome (72227).

It can be divided in two parts, 1111 and 6, that multiplied together give a palindrome (6666).

The spelling of 11116 in words is "eleven thousand, one hundred sixteen".