10815104 has 32 divisors (see below), whose sum is σ = 22684800. Its totient is φ = 5121792.

The previous prime is 10815097. The next prime is 10815107. The reversal of 10815104 is 40151801.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (10815107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 209 + ... + 4655.

It is an arithmetic number, because the mean of its divisors is an integer number (708900).

Almost surely, 2^10815104 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 10815104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11342400).

10815104 is an abundant number, since it is smaller than the sum of its proper divisors (11869696).

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

10815104 is an equidigital number, since it uses as much as digits as its factorization.

10815104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4480 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 20.

The square root of 10815104 is about 3288.6325425623. The cubic root of 10815104 is about 221.1448856450.

Adding to 10815104 its reverse (40151801), we get a palindrome (50966905).

The spelling of 10815104 in words is "ten million, eight hundred fifteen thousand, one hundred four".