105606056110060 has 48 divisors (see below), whose sum is σ = 242651778838560. Its totient is φ = 38288249072640.

The previous prime is 105606056110031. The next prime is 105606056110069. The reversal of 105606056110060 is 60011650606501.

It is a super-3 number, since 3×105606056110060³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105606056110069) 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, 712132875 + ... + 712281154.

It is an arithmetic number, because the mean of its divisors is an integer number (5055245392470).

Almost surely, 2^{105606056110060} is an apocalyptic number.

105606056110060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105606056110060 is an abundant number, since it is smaller than the sum of its proper divisors (137045722728500).

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

105606056110060 is a wasteful number, since it uses less digits than its factorization.

105606056110060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424414386 (or 1424414384 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 105606056110060 in words is "one hundred five trillion, six hundred six billion, fifty-six million, one hundred ten thousand, sixty".