4116105 has 48 divisors (see below), whose sum is σ = 8311680. Its totient is φ = 1845504.

The previous prime is 4116071. The next prime is 4116107. The reversal of 4116105 is 5016114.

It is not a de Polignac number, because 4116105 - 2⁶ = 4116041 is a prime.

It is a super-3 number, since 3×4116105³ (a number of 21 digits) contains 333 as substring.

4116105 is a lucky number.

It is a nialpdrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4116107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22906 + ... + 23084.

It is an arithmetic number, because the mean of its divisors is an integer number (173160).

Almost surely, 2^4116105 is an apocalyptic number.

4116105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4116105 is an abundant number, since it is smaller than the sum of its proper divisors (4195575).

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

4116105 is a wasteful number, since it uses less digits than its factorization.

4116105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 4116105 is about 2028.8186217600. The cubic root of 4116105 is about 160.2613567009.

Subtracting 4116105 from its reverse (5016114), we obtain a palindrome (900009).

The spelling of 4116105 in words is "four million, one hundred sixteen thousand, one hundred five".