105536020205 has 16 divisors (see below), whose sum is σ = 157892851584. Its totient is φ = 65788687680.

The previous prime is 105536020199. The next prime is 105536020207. The reversal of 105536020205 is 502020635501.

It is a happy number.

It is not a de Polignac number, because 105536020205 - 2⁴ = 105536020189 is a prime.

It is a super-3 number, since 3×105536020205³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105536020207) 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 in 15 ways as a sum of consecutive naturals, for example, 137059382 + ... + 137060151.

It is an arithmetic number, because the mean of its divisors is an integer number (9868303224).

Almost surely, 2^105536020205 is an apocalyptic number.

It is an amenable number.

105536020205 is a deficient number, since it is larger than the sum of its proper divisors (52356831379).

105536020205 is a wasteful number, since it uses less digits than its factorization.

105536020205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274119556.

The product of its (nonzero) digits is 9000, while the sum is 29.

Adding to 105536020205 its reverse (502020635501), we get a palindrome (607556655706).

The spelling of 105536020205 in words is "one hundred five billion, five hundred thirty-six million, twenty thousand, two hundred five".