11107368 has 80 divisors (see below), whose sum is σ = 31733460. Its totient is φ = 3628800.

The previous prime is 11107333. The next prime is 11107379. The reversal of 11107368 is 86370111.

It can be written as a sum of positive squares in 2 ways, for example, as 10614564 + 492804 = 3258^2 + 702^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 39388 + ... + 39668.

Almost surely, 2^11107368 is an apocalyptic number.

11107368 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11107368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15866730).

11107368 is an abundant number, since it is smaller than the sum of its proper divisors (20626092).

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

11107368 is a wasteful number, since it uses less digits than its factorization.

11107368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 11107368 is about 3332.7718193720. The cubic root of 11107368 is about 223.1192562606.

Adding to 11107368 its reverse (86370111), we get a palindrome (97477479).

It can be divided in two parts, 1110736 and 8, that multiplied together give a palindrome (8885888).

The spelling of 11107368 in words is "eleven million, one hundred seven thousand, three hundred sixty-eight".