105516061050065 has 4 divisors (see below), whose sum is σ = 126619273260084. Its totient is φ = 84412848840048.

The previous prime is 105516061050041. The next prime is 105516061050073. The reversal of 105516061050065 is 560050160615501.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 20436393959569 + 85079667090496 = 4520663^2 + 9223864^2 .

It is a cyclic number.

It is not a de Polignac number, because 105516061050065 - 2³⁴ = 105498881180881 is a prime.

It is a super-3 number, since 3×105516061050065³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10551606105002 + ... + 10551606105011.

It is an arithmetic number, because the mean of its divisors is an integer number (31654818315021).

Almost surely, 2^{105516061050065} is an apocalyptic number.

It is an amenable number.

105516061050065 is a deficient number, since it is larger than the sum of its proper divisors (21103212210019).

105516061050065 is an equidigital number, since it uses as much as digits as its factorization.

105516061050065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21103212210018.

The product of its (nonzero) digits is 135000, while the sum is 41.

The spelling of 105516061050065 in words is "one hundred five trillion, five hundred sixteen billion, sixty-one million, fifty thousand, sixty-five".