105005505505060 has 24 divisors (see below), whose sum is σ = 221143399860600. Its totient is φ = 41881852049664.

The previous prime is 105005505505057. The next prime is 105005505505111. The reversal of 105005505505060 is 60505505500501.

It can be written as a sum of positive squares in 4 ways, for example, as 50528440688896 + 54477064816164 = 7108336^2 + 7380858^2 .

It is a super-2 number, since 2×105005505505060² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7521877369 + ... + 7521891328.

It is an arithmetic number, because the mean of its divisors is an integer number (9214308327525).

Almost surely, 2^{105005505505060} is an apocalyptic number.

105005505505060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005505505060 is an abundant number, since it is smaller than the sum of its proper divisors (116137894355540).

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

105005505505060 is a wasteful number, since it uses less digits than its factorization.

105005505505060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043769055 (or 15043769053 counting only the distinct ones).

The product of its (nonzero) digits is 93750, while the sum is 37.

The spelling of 105005505505060 in words is "one hundred five trillion, five billion, five hundred five million, five hundred five thousand, sixty".