1005660667105 has 16 divisors (see below), whose sum is σ = 1270849740480. Its totient is φ = 761860009152.

The previous prime is 1005660666979. The next prime is 1005660667129. The reversal of 1005660667105 is 5017660665001.

It is a cyclic number.

It is not a de Polignac number, because 1005660667105 - 2⁷ = 1005660666977 is a prime.

It is a super-2 number, since 2×1005660667105² (a number of 25 digits) contains 22 as substring.

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, 2032234 + ... + 2478163.

It is an arithmetic number, because the mean of its divisors is an integer number (79428108780).

Almost surely, 2^{1005660667105} is an apocalyptic number.

It is an amenable number.

1005660667105 is a deficient number, since it is larger than the sum of its proper divisors (265189073375).

1005660667105 is a wasteful number, since it uses less digits than its factorization.

1005660667105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4512768.

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 1005660667105 in words is "one trillion, five billion, six hundred sixty million, six hundred sixty-seven thousand, one hundred five".