11533104 has 100 divisors (see below), whose sum is σ = 36459720. Its totient is φ = 3490560.

The previous prime is 11533103. The next prime is 11533117. The reversal of 11533104 is 40133511.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11533103) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 13852 + ... + 14660.

Almost surely, 2^11533104 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 11533104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18229860).

11533104 is an abundant number, since it is smaller than the sum of its proper divisors (24926616).

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

11533104 is a wasteful number, since it uses less digits than its factorization.

11533104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11533104 is about 3396.0424025621. The cubic root of 11533104 is about 225.9342487609.

Adding to 11533104 its reverse (40133511), we get a palindrome (51666615).

The spelling of 11533104 in words is "eleven million, five hundred thirty-three thousand, one hundred four".