10303120 has 40 divisors (see below), whose sum is σ = 24786360. Its totient is φ = 3978240.

The previous prime is 10303099. The next prime is 10303121. The reversal of 10303120 is 2130301.

It can be written as a sum of positive squares in 4 ways, for example, as 767376 + 9535744 = 876^2 + 3088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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 = 10303097 and 10303106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10303121) 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 7 ways as a sum of consecutive naturals, for example, 100 + ... + 4540.

It is an arithmetic number, because the mean of its divisors is an integer number (619659).

Almost surely, 2^10303120 is an apocalyptic number.

10303120 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 10303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12393180).

10303120 is an abundant number, since it is smaller than the sum of its proper divisors (14483240).

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

10303120 is a wasteful number, since it uses less digits than its factorization.

10303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4483 (or 4477 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 10303120 is about 3209.8473483952. The cubic root of 10303120 is about 217.5986780845.

Adding to 10303120 its reverse (2130301), we get a palindrome (12433421).

The spelling of 10303120 in words is "ten million, three hundred three thousand, one hundred twenty".