10804500 has 180 divisors, whose sum is σ = 39762996. Its totient is φ = 2469600.

The previous prime is 10804471. The next prime is 10804517. The reversal of 10804500 is 540801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 345744 + 10458756 = 588^2 + 3234^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 1543497 + ... + 1543503.

Almost surely, 2^10804500 is an apocalyptic number.

10804500 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 10804500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19881498).

10804500 is an abundant number, since it is smaller than the sum of its proper divisors (28958496).

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

10804500 is an equidigital number, since it uses as much as digits as its factorization.

10804500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 10804500 is about 3287.0199269247. The cubic root of 10804500 is about 221.0725859180.

The spelling of 10804500 in words is "ten million, eight hundred four thousand, five hundred".