105605555560 has 32 divisors (see below), whose sum is σ = 239965108200. Its totient is φ = 41823980800.

The previous prime is 105605555521. The next prime is 105605555581. The reversal of 105605555560 is 65555506501.

It can be written as a sum of positive squares in 4 ways, for example, as 101861828964 + 3743726596 = 319158^2 + 61186^2 .

It is a super-3 number, since 3×105605555560³ (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 7 ways as a sum of consecutive naturals, for example, 13065955 + ... + 13074034.

Almost surely, 2^105605555560 is an apocalyptic number.

105605555560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105605555560 is an abundant number, since it is smaller than the sum of its proper divisors (134359552640).

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

105605555560 is a wasteful number, since it uses less digits than its factorization.

105605555560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26140101 (or 26140097 counting only the distinct ones).

The product of its (nonzero) digits is 562500, while the sum is 43.

The spelling of 105605555560 in words is "one hundred five billion, six hundred five million, five hundred fifty-five thousand, five hundred sixty".