10003320 has 96 divisors (see below), whose sum is σ = 33433920. Its totient is φ = 2592000.

The previous prime is 10003277. The next prime is 10003337. The reversal of 10003320 is 2330001.

It is a happy number.

It is a super-2 number, since 2×10003320² = 200132822044800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

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 23 ways as a sum of consecutive naturals, for example, 12945 + ... + 13695.

It is an arithmetic number, because the mean of its divisors is an integer number (348270).

Almost surely, 2^10003320 is an apocalyptic number.

10003320 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 10003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16716960).

10003320 is an abundant number, since it is smaller than the sum of its proper divisors (23430600).

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

10003320 is a wasteful number, since it uses less digits than its factorization.

10003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 10003320 is about 3162.8025546973. The cubic root of 10003320 is about 215.4673087757.

Adding to 10003320 its reverse (2330001), we get a palindrome (12333321).

The spelling of 10003320 in words is "ten million, three thousand, three hundred twenty".