105416302065 has 64 divisors (see below), whose sum is σ = 183606393600. Its totient is φ = 51430809600.

The previous prime is 105416302051. The next prime is 105416302111. The reversal of 105416302065 is 560203614501.

It is not a de Polignac number, because 105416302065 - 2⁴ = 105416302049 is a prime.

It is a super-2 number, since 2×105416302065² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9891990 + ... + 9902640.

It is an arithmetic number, because the mean of its divisors is an integer number (2868849900).

Almost surely, 2^105416302065 is an apocalyptic number.

105416302065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105416302065 is a deficient number, since it is larger than the sum of its proper divisors (78190091535).

105416302065 is a wasteful number, since it uses less digits than its factorization.

105416302065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11762.

The product of its (nonzero) digits is 21600, while the sum is 33.

Adding to 105416302065 its reverse (560203614501), we get a palindrome (665619916566).

The spelling of 105416302065 in words is "one hundred five billion, four hundred sixteen million, three hundred two thousand, sixty-five".