10330000 has 50 divisors (see below), whose sum is σ = 25034174. Its totient is φ = 4128000.

The previous prime is 10329997. The next prime is 10330007. The reversal of 10330000 is 3301.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1401856 + 8928144 = 1184^2 + 2988^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is not an unprimeable number, because it can be changed into a prime (10330007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9484 + ... + 10516.

Almost surely, 2^10330000 is an apocalyptic number.

10330000 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 10330000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12517087).

10330000 is an abundant number, since it is smaller than the sum of its proper divisors (14704174).

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

10330000 is an equidigital number, since it uses as much as digits as its factorization.

10330000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 7.

The square root of 10330000 is about 3214.0317359976. The cubic root of 10330000 is about 217.7877461616.

Adding to 10330000 its reverse (3301), we get a palindrome (10333301).

It can be divided in two parts, 103 and 30000, that added together give a palindrome (30103).

The spelling of 10330000 in words is "ten million, three hundred thirty thousand".