105605555106 has 32 divisors (see below), whose sum is σ = 217242907200. Its totient is φ = 34205036544.

The previous prime is 105605555059. The next prime is 105605555123. The reversal of 105605555106 is 601555506501.

It is a super-3 number, since 3×105605555106³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1010631 + ... + 1110218.

It is an arithmetic number, because the mean of its divisors is an integer number (6788840850).

Almost surely, 2^105605555106 is an apocalyptic number.

105605555106 is an abundant number, since it is smaller than the sum of its proper divisors (111637352094).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105605555106 is a wasteful number, since it uses less digits than its factorization.

105605555106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121090.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 105605555106 in words is "one hundred five billion, six hundred five million, five hundred fifty-five thousand, one hundred six".