10300320 has 144 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 2618880.

The previous prime is 10300291. The next prime is 10300321. The reversal of 10300320 is 2300301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is not an unprimeable number, because it can be changed into a prime (10300321) 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 23 ways as a sum of consecutive naturals, for example, 32965 + ... + 33275.

It is an arithmetic number, because the mean of its divisors is an integer number (255528).

Almost surely, 2^10300320 is an apocalyptic number.

10300320 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 10300320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

10300320 is an abundant number, since it is smaller than the sum of its proper divisors (26495712).

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

10300320 is a wasteful number, since it uses less digits than its factorization.

10300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 344 counting only the distinct ones).

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

The square root of 10300320 is about 3209.4111609453. The cubic root of 10300320 is about 217.5789645900.

Adding to 10300320 its reverse (2300301), we get a palindrome (12600621).

The spelling of 10300320 in words is "ten million, three hundred thousand, three hundred twenty".