111001116 has 48 divisors (see below), whose sum is σ = 276514560. Its totient is φ = 34554240.

The previous prime is 111001081. The next prime is 111001117. The reversal of 111001116 is 611100111.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12760 + ... + 19616.

It is an arithmetic number, because the mean of its divisors is an integer number (5760720).

Almost surely, 2^111001116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111001116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138257280).

111001116 is an abundant number, since it is smaller than the sum of its proper divisors (165513444).

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

111001116 is a wasteful number, since it uses less digits than its factorization.

111001116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6952 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 12.

The square root of 111001116 is about 10535.7067157358. The cubic root of 111001116 is about 480.5911639896.

Adding to 111001116 its reverse (611100111), we get a palindrome (722101227).

It can be divided in two parts, 11100111 and 6, that multiplied together give a palindrome (66600666).

The spelling of 111001116 in words is "one hundred eleven million, one thousand, one hundred sixteen".