4105093041 has 81 divisors (see below), whose sum is σ = 7226551371. Its totient is φ = 2325008448.

The previous prime is 4105093033. The next prime is 4105093063. The reversal of 4105093041 is 1403905014.

The square root of 4105093041 is 64071.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 72335025 + 4032758016 = 8505^2 + 63504^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 4105093041 - 2³ = 4105093033 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4105092996 and 4105093014.

It is not an unprimeable number, because it can be changed into a prime (4105093001) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 36328201 + ... + 36328313.

Almost surely, 2^4105093041 is an apocalyptic number.

4105093041 is the 64071-st square number.

4105093041 is the 32036-th centered octagonal number.

It is an amenable number.

4105093041 is a deficient number, since it is larger than the sum of its proper divisors (3121458330).

4105093041 is an frugal number, since it uses more digits than its factorization.

4105093041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The cubic root of 4105093041 is about 1601.1831146477.

Adding to 4105093041 its reverse (1403905014), we get a palindrome (5508998055).

The spelling of 4105093041 in words is "four billion, one hundred five million, ninety-three thousand, forty-one".