10005765303 has 16 divisors (see below), whose sum is σ = 13523328000. Its totient is φ = 6579524640.

The previous prime is 10005765277. The next prime is 10005765307. The reversal of 10005765303 is 30356750001.

It is not a de Polignac number, because 10005765303 - 2¹⁴ = 10005748919 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10005765307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223873 + ... + 264821.

It is an arithmetic number, because the mean of its divisors is an integer number (845208000).

Almost surely, 2^10005765303 is an apocalyptic number.

10005765303 is a deficient number, since it is larger than the sum of its proper divisors (3517562697).

10005765303 is a wasteful number, since it uses less digits than its factorization.

10005765303 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42062.

The product of its (nonzero) digits is 9450, while the sum is 30.

The spelling of 10005765303 in words is "ten billion, five million, seven hundred sixty-five thousand, three hundred three".