105611051101005 has 24 divisors (see below), whose sum is σ = 183153080050200. Its totient is φ = 56296993979520.

The previous prime is 105611051101001. The next prime is 105611051101007. The reversal of 105611051101005 is 500101150116501.

It can be written as a sum of positive squares in 4 ways, for example, as 51112018637289 + 54499032463716 = 7149267^2 + 7382346^2 .

It is not a de Polignac number, because 105611051101005 - 2² = 105611051101001 is a prime.

It is a super-2 number, since 2×105611051101005² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105611051101005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105611051101001) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 601993426 + ... + 602168835.

It is an arithmetic number, because the mean of its divisors is an integer number (7631378335425).

Almost surely, 2^{105611051101005} is an apocalyptic number.

105611051101005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105611051101005 is a deficient number, since it is larger than the sum of its proper divisors (77542028949195).

105611051101005 is a wasteful number, since it uses less digits than its factorization.

105611051101005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1204164221 (or 1204164218 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 105611051101005 in words is "one hundred five trillion, six hundred eleven billion, fifty-one million, one hundred one thousand, five".