105065550105 has 24 divisors (see below), whose sum is σ = 177418179072. Its totient is φ = 53085748896.

The previous prime is 105065549989. The next prime is 105065550133. The reversal of 105065550105 is 501055560501.

It is not a de Polignac number, because 105065550105 - 2¹⁶ = 105065484569 is a prime.

It is a super-2 number, since 2×105065550105² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9695929 + ... + 9706758.

It is an arithmetic number, because the mean of its divisors is an integer number (7392424128).

Almost surely, 2^105065550105 is an apocalyptic number.

105065550105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105065550105 is a deficient number, since it is larger than the sum of its proper divisors (72352628967).

105065550105 is a wasteful number, since it uses less digits than its factorization.

105065550105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19402733 (or 19402714 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 105065550105 in words is "one hundred five billion, sixty-five million, five hundred fifty thousand, one hundred five".