4135205105 has 8 divisors (see below), whose sum is σ = 4962724200. Its totient is φ = 3307845376.

The previous prime is 4135205099. The next prime is 4135205111. The reversal of 4135205105 is 5015025314.

4135205105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4135205099) and next prime (4135205111).

It can be written as a sum of positive squares in 4 ways, for example, as 1619982001 + 2515223104 = 40249^2 + 50152^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4135205105 - 2²⁴ = 4118427889 is a prime.

It is a super-2 number, since 2×4135205105² = 34199842520836122050, which contains 22 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 27641 + ... + 95049.

It is an arithmetic number, because the mean of its divisors is an integer number (620340525).

Almost surely, 2^4135205105 is an apocalyptic number.

It is an amenable number.

4135205105 is a deficient number, since it is larger than the sum of its proper divisors (827519095).

4135205105 is a wasteful number, since it uses less digits than its factorization.

4135205105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79683.

The product of its (nonzero) digits is 3000, while the sum is 26.

The square root of 4135205105 is about 64305.5604516437. The cubic root of 4135205105 is about 1605.0886303738.

The spelling of 4135205105 in words is "four billion, one hundred thirty-five million, two hundred five thousand, one hundred five".