103303120 has 60 divisors (see below), whose sum is σ = 251179236. Its totient is φ = 39508480.

The previous prime is 103303091. The next prime is 103303121. The reversal of 103303120 is 21303301.

It can be written as a sum of positive squares in 2 ways, for example, as 22014864 + 81288256 = 4692^2 + 9016^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 103303120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103303121) 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 11 ways as a sum of consecutive naturals, for example, 41100 + ... + 43540.

Almost surely, 2^103303120 is an apocalyptic number.

103303120 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 103303120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125589618).

103303120 is an abundant number, since it is smaller than the sum of its proper divisors (147876116).

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

103303120 is a wasteful number, since it uses less digits than its factorization.

103303120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2500 (or 2471 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 103303120 is about 10163.8142446623. The cubic root of 103303120 is about 469.2141992371.

Adding to 103303120 its reverse (21303301), we get a palindrome (124606421).

The spelling of 103303120 in words is "one hundred three million, three hundred three thousand, one hundred twenty".