105065659999 has 2 divisors, whose sum is σ = 105065660000. Its totient is φ = 105065659998.

The previous prime is 105065659973. The next prime is 105065660003. The reversal of 105065659999 is 999956560501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105065659999 - 2²¹ = 105063562847 is a prime.

It is a super-2 number, since 2×105065659999² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105065659999.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105065659949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52532829999 + 52532830000.

It is an arithmetic number, because the mean of its divisors is an integer number (52532830000).

Almost surely, 2^105065659999 is an apocalyptic number.

105065659999 is a deficient number, since it is larger than the sum of its proper divisors (1).

105065659999 is an equidigital number, since it uses as much as digits as its factorization.

105065659999 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 29524500, while the sum is 64.

The spelling of 105065659999 in words is "one hundred five billion, sixty-five million, six hundred fifty-nine thousand, nine hundred ninety-nine".