105611101105060 has 12 divisors (see below), whose sum is σ = 221783312320668. Its totient is φ = 42244440442016.

The previous prime is 105611101105033. The next prime is 105611101105063. The reversal of 105611101105060 is 60501101116501.

It can be written as a sum of positive squares in 2 ways, for example, as 51278546097216 + 54332555007844 = 7160904^2 + 7371062^2 .

It is a super-4 number, since 4×105611101105060⁴ (a number of 57 digits) contains 4444 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 (105611101105063) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2640277527607 + ... + 2640277527646.

It is an arithmetic number, because the mean of its divisors is an integer number (18481942693389).

Almost surely, 2^{105611101105060} is an apocalyptic number.

105611101105060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105611101105060 is an abundant number, since it is smaller than the sum of its proper divisors (116172211215608).

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

105611101105060 is a wasteful number, since it uses less digits than its factorization.

105611101105060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5280555055262 (or 5280555055260 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 28.

The spelling of 105611101105060 in words is "one hundred five trillion, six hundred eleven billion, one hundred one million, one hundred five thousand, sixty".