105665459999 has 16 divisors (see below), whose sum is σ = 115571058720. Its totient is φ = 95810117760.

The previous prime is 105665459987. The next prime is 105665460001. The reversal of 105665459999 is 999954566501.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105665459999 is a prime.

It is a super-2 number, since 2×105665459999² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105665459929) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7524917 + ... + 7538945.

It is an arithmetic number, because the mean of its divisors is an integer number (7223191170).

Almost surely, 2^105665459999 is an apocalyptic number.

105665459999 is a deficient number, since it is larger than the sum of its proper divisors (9905598721).

105665459999 is a wasteful number, since it uses less digits than its factorization.

105665459999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15770.

The product of its (nonzero) digits is 118098000, while the sum is 68.

The spelling of 105665459999 in words is "one hundred five billion, six hundred sixty-five million, four hundred fifty-nine thousand, nine hundred ninety-nine".