11206103064 has 128 divisors (see below), whose sum is σ = 31119728640. Its totient is φ = 3340818432.

The previous prime is 11206103039. The next prime is 11206103131. The reversal of 11206103064 is 46030160211.

11206103064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1700544 + ... + 1707120.

It is an arithmetic number, because the mean of its divisors is an integer number (243122880).

Almost surely, 2^11206103064 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 11206103064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15559864320).

11206103064 is an abundant number, since it is smaller than the sum of its proper divisors (19913625576).

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

11206103064 is a wasteful number, since it uses less digits than its factorization.

11206103064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6769 (or 6765 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 11206103064 its reverse (46030160211), we get a palindrome (57236263275).

The spelling of 11206103064 in words is "eleven billion, two hundred six million, one hundred three thousand, sixty-four".