10200320 has 72 divisors (see below), whose sum is σ = 26355336. Its totient is φ = 3760128.

The previous prime is 10200319. The next prime is 10200343. The reversal of 10200320 is 2300201.

It can be written as a sum of positive squares in 4 ways, for example, as 565504 + 9634816 = 752^2 + 3104^2 .

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a junction number, because it is equal to n+sod(n) for n = 10200298 and 10200307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16334 + ... + 16946.

Almost surely, 2^10200320 is an apocalyptic number.

10200320 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 10200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13177668).

10200320 is an abundant number, since it is smaller than the sum of its proper divisors (16155016).

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

10200320 is an equidigital number, since it uses as much as digits as its factorization.

10200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 10200320 is about 3193.7939820846. The cubic root of 10200320 is about 216.8725564259.

Adding to 10200320 its reverse (2300201), we get a palindrome (12500521).

The spelling of 10200320 in words is "ten million, two hundred thousand, three hundred twenty".