105505606105 has 4 divisors (see below), whose sum is σ = 126606727332. Its totient is φ = 84404484880.

The previous prime is 105505606069. The next prime is 105505606109. The reversal of 105505606105 is 501606505501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 501606505501 = 263983 ⋅1900147.

It can be written as a sum of positive squares in 2 ways, for example, as 61987056784 + 43518549321 = 248972^2 + 208611^2 .

It is not a de Polignac number, because 105505606105 - 2¹³ = 105505597913 is a prime.

It is a super-2 number, since 2×105505606105² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105505606109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10550560606 + ... + 10550560615.

It is an arithmetic number, because the mean of its divisors is an integer number (31651681833).

Almost surely, 2^105505606105 is an apocalyptic number.

It is an amenable number.

105505606105 is a deficient number, since it is larger than the sum of its proper divisors (21101121227).

105505606105 is an equidigital number, since it uses as much as digits as its factorization.

105505606105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21101121226.

The product of its (nonzero) digits is 22500, while the sum is 34.

The spelling of 105505606105 in words is "one hundred five billion, five hundred five million, six hundred six thousand, one hundred five".