10006010060605 has 16 divisors (see below), whose sum is σ = 12974976367920. Its totient is φ = 7363834956288.

The previous prime is 10006010060567. The next prime is 10006010060611. The reversal of 10006010060605 is 50606001060001.

It can be written as a sum of positive squares in 8 ways, for example, as 1121002383076 + 8885007677529 = 1058774^2 + 2980773^2 .

It is a cyclic number.

It is not a de Polignac number, because 10006010060605 - 2¹⁹ = 10006009536317 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10006010060605.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262674840 + ... + 262712929.

It is an arithmetic number, because the mean of its divisors is an integer number (810936022995).

Almost surely, 2^{10006010060605} is an apocalyptic number.

It is an amenable number.

10006010060605 is a deficient number, since it is larger than the sum of its proper divisors (2968966307315).

10006010060605 is a wasteful number, since it uses less digits than its factorization.

10006010060605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525388080.

The product of its (nonzero) digits is 1080, while the sum is 25.

The spelling of 10006010060605 in words is "ten trillion, six billion, ten million, sixty thousand, six hundred five".