10300420 has 48 divisors (see below), whose sum is σ = 23531760. Its totient is φ = 3764736.

The previous prime is 10300417. The next prime is 10300421. The reversal of 10300420 is 2400301.

It can be written as a sum of positive squares in 8 ways, for example, as 553536 + 9746884 = 744^2 + 3122^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10300397 and 10300406.

It is not an unprimeable number, because it can be changed into a prime (10300421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44866 + ... + 45094.

It is an arithmetic number, because the mean of its divisors is an integer number (490245).

Almost surely, 2^10300420 is an apocalyptic number.

10300420 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 10300420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11765880).

10300420 is an abundant number, since it is smaller than the sum of its proper divisors (13231340).

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

10300420 is a wasteful number, since it uses less digits than its factorization.

10300420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

The square root of 10300420 is about 3209.4267400893. The cubic root of 10300420 is about 217.5796687049.

Adding to 10300420 its reverse (2400301), we get a palindrome (12700721).

The spelling of 10300420 in words is "ten million, three hundred thousand, four hundred twenty".