11581104 has 80 divisors (see below), whose sum is σ = 31775744. Its totient is φ = 3628800.

The previous prime is 11581099. The next prime is 11581109. The reversal of 11581104 is 40118511.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11581099) and next prime (11581109).

It is not an unprimeable number, because it can be changed into a prime (11581109) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 63894 + ... + 64074.

Almost surely, 2^11581104 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 11581104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15887872).

11581104 is an abundant number, since it is smaller than the sum of its proper divisors (20194640).

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

11581104 is a wasteful number, since it uses less digits than its factorization.

11581104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266 (or 260 counting only the distinct ones).

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

The square root of 11581104 is about 3403.1021142481. The cubic root of 11581104 is about 226.2472559520.

Adding to 11581104 its reverse (40118511), we get a palindrome (51699615).

The spelling of 11581104 in words is "eleven million, five hundred eighty-one thousand, one hundred four".