10081305 has 48 divisors (see below), whose sum is σ = 19830720. Its totient is φ = 4696704.

The previous prime is 10081303. The next prime is 10081319. The reversal of 10081305 is 50318001.

10081305 = 598² + 599² + ... + 624².

It is a happy number.

It is not a de Polignac number, because 10081305 - 2¹ = 10081303 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10081303) 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 47 ways as a sum of consecutive naturals, for example, 10662 + ... + 11568.

It is an arithmetic number, because the mean of its divisors is an integer number (413140).

Almost surely, 2^10081305 is an apocalyptic number.

10081305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10081305 is a deficient number, since it is larger than the sum of its proper divisors (9749415).

10081305 is a wasteful number, since it uses less digits than its factorization.

10081305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950 (or 947 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 10081305 is about 3175.1070848083. The cubic root of 10081305 is about 216.0257813877.

Adding to 10081305 its reverse (50318001), we get a palindrome (60399306).

The spelling of 10081305 in words is "ten million, eighty-one thousand, three hundred five".