105116055560165 has 16 divisors (see below), whose sum is σ = 135843890731248. Its totient is φ = 77623247794176.

The previous prime is 105116055560143. The next prime is 105116055560167. The reversal of 105116055560165 is 561065550611501.

It can be written as a sum of positive squares in 8 ways, for example, as 35640529860961 + 69475525699204 = 5969969^2 + 8335198^2 .

It is a cyclic number.

It is not a de Polignac number, because 105116055560165 - 2⁶ = 105116055560101 is a prime.

It is a super-2 number, since 2×105116055560165² (a number of 29 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 (105116055560167) 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, 3971324 + ... + 15033413.

It is an arithmetic number, because the mean of its divisors is an integer number (8490243170703).

Almost surely, 2^{105116055560165} is an apocalyptic number.

It is an amenable number.

105116055560165 is a deficient number, since it is larger than the sum of its proper divisors (30727835171083).

105116055560165 is a wasteful number, since it uses less digits than its factorization.

105116055560165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19089848.

The product of its (nonzero) digits is 675000, while the sum is 47.

The spelling of 105116055560165 in words is "one hundred five trillion, one hundred sixteen billion, fifty-five million, five hundred sixty thousand, one hundred sixty-five".