11114100 has 108 divisors (see below), whose sum is σ = 35646156. Its totient is φ = 2895360.

The previous prime is 11114093. The next prime is 11114101. The reversal of 11114100 is 141111.

11114100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 381924 + 10732176 = 618^2 + 3276^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11114101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47584 + ... + 47816.

It is an arithmetic number, because the mean of its divisors is an integer number (330057).

Almost surely, 2^11114100 is an apocalyptic number.

11114100 is a gapful number since it is divisible by the number (10) 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 11114100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17823078).

11114100 is an abundant number, since it is smaller than the sum of its proper divisors (24532056).

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

11114100 is a wasteful number, since it uses less digits than its factorization.

11114100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

The square root of 11114100 is about 3333.7816365203. The cubic root of 11114100 is about 223.1643235073.

Adding to 11114100 its reverse (141111), we get a palindrome (11255211).

The spelling of 11114100 in words is "eleven million, one hundred fourteen thousand, one hundred".