105605101105505 has 16 divisors (see below), whose sum is σ = 129968128281600. Its totient is φ = 82327540563840.

The previous prime is 105605101105499. The next prime is 105605101105523. The reversal of 105605101105505 is 505501101506501.

It is not a de Polignac number, because 105605101105505 - 2⁴⁶ = 35236356927841 is a prime.

It is a super-2 number, since 2×105605101105505² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 299676545 + ... + 300028734.

It is an arithmetic number, because the mean of its divisors is an integer number (8123008017600).

Almost surely, 2^{105605101105505} is an apocalyptic number.

It is an amenable number.

105605101105505 is a deficient number, since it is larger than the sum of its proper divisors (24363027176095).

105605101105505 is an equidigital number, since it uses as much as digits as its factorization.

105605101105505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 599706184.

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 105605101105505 in words is "one hundred five trillion, six hundred five billion, one hundred one million, one hundred five thousand, five hundred five".