10071089049905 has 16 divisors (see below), whose sum is σ = 13017039816144. Its totient is φ = 7435915361280.

The previous prime is 10071089049899. The next prime is 10071089049941. The reversal of 10071089049905 is 50994098017001.

It can be written as a sum of positive squares in 8 ways, for example, as 1574091418384 + 8496997631521 = 1254628^2 + 2914961^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10071089049905 is a prime.

It is a super-2 number, since 2×10071089049905² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12056876 + ... + 12865085.

It is an arithmetic number, because the mean of its divisors is an integer number (813564988509).

Almost surely, 2^{10071089049905} is an apocalyptic number.

It is an amenable number.

10071089049905 is a deficient number, since it is larger than the sum of its proper divisors (2945950766239).

10071089049905 is a wasteful number, since it uses less digits than its factorization.

10071089049905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24928196.

The product of its (nonzero) digits is 816480, while the sum is 53.

The spelling of 10071089049905 in words is "ten trillion, seventy-one billion, eighty-nine million, forty-nine thousand, nine hundred five".