2105516662065 has 80 divisors (see below), whose sum is σ = 3817974061440. Its totient is φ = 1109966457600.

The previous prime is 2105516662043. The next prime is 2105516662079. The reversal of 2105516662065 is 5602666155012.

It is not a de Polignac number, because 2105516662065 - 2⁹ = 2105516661553 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 2105516662065.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 140820340 + ... + 140835290.

It is an arithmetic number, because the mean of its divisors is an integer number (47724675768).

Almost surely, 2^{2105516662065} is an apocalyptic number.

It is an amenable number.

2105516662065 is a deficient number, since it is larger than the sum of its proper divisors (1712457399375).

2105516662065 is a wasteful number, since it uses less digits than its factorization.

2105516662065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18964 (or 18955 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 2105516662065 in words is "two trillion, one hundred five billion, five hundred sixteen million, six hundred sixty-two thousand, sixty-five".