11314100 has 54 divisors (see below), whose sum is σ = 28572390. Its totient is φ = 3877440.

The previous prime is 11314099. The next prime is 11314109. The reversal of 11314100 is 141311.

11314100 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 3 ways, for example, as 1999396 + 9314704 = 1414^2 + 3052^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314109) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3746 + ... + 6054.

Almost surely, 2^11314100 is an apocalyptic number.

11314100 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 11314100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14286195).

11314100 is an abundant number, since it is smaller than the sum of its proper divisors (17258290).

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

11314100 is a wasteful number, since it uses less digits than its factorization.

11314100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2337 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 11314100 is about 3363.6438574855. The cubic root of 11314100 is about 224.4949990867.

Adding to 11314100 its reverse (141311), we get a palindrome (11455411).

The spelling of 11314100 in words is "eleven million, three hundred fourteen thousand, one hundred".