11007104 has 32 divisors (see below), whose sum is σ = 22151340. Its totient is φ = 5447680.

The previous prime is 11007091. The next prime is 11007107. The reversal of 11007104 is 40170011.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 6512704 + 4494400 = 2552^2 + 2120^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (11007107) 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 3 ways as a sum of consecutive naturals, for example, 14084 + ... + 14844.

Almost surely, 2^11007104 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 11007104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11075670).

11007104 is an abundant number, since it is smaller than the sum of its proper divisors (11144236).

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

11007104 is an equidigital number, since it uses as much as digits as its factorization.

11007104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 14.

The square root of 11007104 is about 3317.6955857945. The cubic root of 11007104 is about 222.4458749801.

Adding to 11007104 its reverse (40170011), we get a palindrome (51177115).

It can be divided in two parts, 11007 and 104, that added together give a palindrome (11111).

The spelling of 11007104 in words is "eleven million, seven thousand, one hundred four".