11006144 has 28 divisors (see below), whose sum is σ = 22792944. Its totient is φ = 5263104.

The previous prime is 11006119. The next prime is 11006161. The reversal of 11006144 is 44160011.

It is a super-2 number, since 2×11006144² = 242270411497472, which contains 22 as substring.

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 3 ways as a sum of consecutive naturals, for example, 2267 + ... + 5210.

Almost surely, 2^11006144 is an apocalyptic number.

It is an amenable number.

11006144 is an abundant number, since it is smaller than the sum of its proper divisors (11786800).

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

11006144 is an equidigital number, since it uses as much as digits as its factorization.

11006144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7502 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 11006144 is about 3317.5509039049. The cubic root of 11006144 is about 222.4394078159.

Adding to 11006144 its reverse (44160011), we get a palindrome (55166155).

The spelling of 11006144 in words is "eleven million, six thousand, one hundred forty-four".