11131104 has 48 divisors (see below), whose sum is σ = 29852928. Its totient is φ = 3629952.

The previous prime is 11131079. The next prime is 11131111. The reversal of 11131104 is 40113111.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 11131104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3279 + ... + 5745.

It is an arithmetic number, because the mean of its divisors is an integer number (621936).

Almost surely, 2^11131104 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 11131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14926464).

11131104 is an abundant number, since it is smaller than the sum of its proper divisors (18721824).

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

11131104 is a wasteful number, since it uses less digits than its factorization.

11131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2527 (or 2519 counting only the distinct ones).

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

The square root of 11131104 is about 3336.3309188388. The cubic root of 11131104 is about 223.2780754853.

Adding to 11131104 its reverse (40113111), we get a palindrome (51244215).

The spelling of 11131104 in words is "eleven million, one hundred thirty-one thousand, one hundred four".