11034500 has 48 divisors (see below), whose sum is σ = 24963120. Its totient is φ = 4256000.

The previous prime is 11034469. The next prime is 11034509. The reversal of 11034500 is 543011.

It can be written as a sum of positive squares in 8 ways, for example, as 7409284 + 3625216 = 2722^2 + 1904^2 .

It is not an unprimeable number, because it can be changed into a prime (11034509) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 14120 + ... + 14880.

It is an arithmetic number, because the mean of its divisors is an integer number (520065).

Almost surely, 2^11034500 is an apocalyptic number.

11034500 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 11034500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12481560).

11034500 is an abundant number, since it is smaller than the sum of its proper divisors (13928620).

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

11034500 is a wasteful number, since it uses less digits than its factorization.

11034500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 797 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 11034500 is about 3321.8217893198. The cubic root of 11034500 is about 222.6302734135.

Adding to 11034500 its reverse (543011), we get a palindrome (11577511).

The spelling of 11034500 in words is "eleven million, thirty-four thousand, five hundred".