11105684928 has 336 divisors, whose sum is σ = 37449617760. Its totient is φ = 3214688256.

The previous prime is 11105684921. The next prime is 11105684929. The reversal of 11105684928 is 82948650111.

It is a happy number.

11105684928 is a `hidden beast` number, since 11 + 10 + 568 + 49 + 28 = 666.

11105684928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11105684921) 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 47 ways as a sum of consecutive naturals, for example, 4963426 + ... + 4965662.

Almost surely, 2^11105684928 is an apocalyptic number.

11105684928 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 11105684928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18724808880).

11105684928 is an abundant number, since it is smaller than the sum of its proper divisors (26343932832).

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

11105684928 is a wasteful number, since it uses less digits than its factorization.

11105684928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2301 (or 2272 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 11105684928 in words is "eleven billion, one hundred five million, six hundred eighty-four thousand, nine hundred twenty-eight".