10065707584 has 21 divisors (see below), whose sum is σ = 19975731321. Its totient is φ = 5032452480.

The previous prime is 10065707579. The next prime is 10065707591. The reversal of 10065707584 is 48570756001.

The square root of 10065707584 is 100328.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8699665984 + 1366041600 = 93272^2 + 36960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10065707584.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 796354 + ... + 808894.

It is an arithmetic number, because the mean of its divisors is an integer number (951225301).

Almost surely, 2^10065707584 is an apocalyptic number.

10065707584 is the 100328-th square number.

It is an amenable number.

10065707584 is a deficient number, since it is larger than the sum of its proper divisors (9910023737).

10065707584 is an frugal number, since it uses more digits than its factorization.

10065707584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25094 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 43.

The spelling of 10065707584 in words is "ten billion, sixty-five million, seven hundred seven thousand, five hundred eighty-four".