10605010005005 has 16 divisors (see below), whose sum is σ = 13721002826160. Its totient is φ = 7822210963968.

The previous prime is 10605010004987. The next prime is 10605010005011. The reversal of 10605010005005 is 50050001050601.

10605010005005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 903741126409 + 9701268878596 = 950653^2 + 3114686^2 .

It is a cyclic number.

It is not a de Polignac number, because 10605010005005 - 2¹² = 10605010000909 is a prime.

It is a super-2 number, since 2×10605010005005² (a number of 27 digits) contains 22 as substring.

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, 95579960 + ... + 95690849.

It is an arithmetic number, because the mean of its divisors is an integer number (857562676635).

Almost surely, 2^{10605010005005} is an apocalyptic number.

It is an amenable number.

10605010005005 is a deficient number, since it is larger than the sum of its proper divisors (3115992821155).

10605010005005 is a wasteful number, since it uses less digits than its factorization.

10605010005005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191271680.

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 10605010005005 its reverse (50050001050601), we get a palindrome (60655011055606).

The spelling of 10605010005005 in words is "ten trillion, six hundred five billion, ten million, five thousand, five".