11185104 has 40 divisors (see below), whose sum is σ = 33023680. Its totient is φ = 3195648.

The previous prime is 11185103. The next prime is 11185147. The reversal of 11185104 is 40158111.

It is a happy number.

11185104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11185103) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16309 + ... + 16980.

It is an arithmetic number, because the mean of its divisors is an integer number (825592).

Almost surely, 2^11185104 is an apocalyptic number.

11185104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11185104 is an abundant number, since it is smaller than the sum of its proper divisors (21838576).

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

11185104 is a wasteful number, since it uses less digits than its factorization.

11185104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33307 (or 33301 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 21.

The square root of 11185104 is about 3344.4138499893. The cubic root of 11185104 is about 223.6385539898.

The spelling of 11185104 in words is "eleven million, one hundred eighty-five thousand, one hundred four".