10005060560105 has 32 divisors (see below), whose sum is σ = 13282773112224. Its totient is φ = 7186660263936.

The previous prime is 10005060560083. The next prime is 10005060560113. The reversal of 10005060560105 is 50106506050001.

It can be written as a sum of positive squares in 16 ways, for example, as 5381597309929 + 4623463250176 = 2319827^2 + 2150224^2 .

It is a cyclic number.

It is not a de Polignac number, because 10005060560105 - 2¹² = 10005060556009 is a prime.

It is a super-2 number, since 2×10005060560105² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8062247 + ... + 9220083.

It is an arithmetic number, because the mean of its divisors is an integer number (415086659757).

Almost surely, 2^{10005060560105} is an apocalyptic number.

It is an amenable number.

10005060560105 is a deficient number, since it is larger than the sum of its proper divisors (3277712552119).

10005060560105 is a wasteful number, since it uses less digits than its factorization.

10005060560105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161485.

The product of its (nonzero) digits is 4500, while the sum is 29.

The spelling of 10005060560105 in words is "ten trillion, five billion, sixty million, five hundred sixty thousand, one hundred five".