11084103360 has 504 divisors, whose sum is σ = 44394412608. Its totient is φ = 2527641600.

The previous prime is 11084103319. The next prime is 11084103361. The reversal of 11084103360 is 6330148011.

11084103360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (11084103361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5923225 + ... + 5925095.

It is an arithmetic number, because the mean of its divisors is an integer number (88084152).

Almost surely, 2^11084103360 is an apocalyptic number.

11084103360 is a gapful number since it is divisible by the number (10) 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 11084103360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22197206304).

11084103360 is an abundant number, since it is smaller than the sum of its proper divisors (33310309248).

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

11084103360 is a wasteful number, since it uses less digits than its factorization.

11084103360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 11084103360 in words is "eleven billion, eighty-four million, one hundred three thousand, three hundred sixty".