4105506405 has 288 divisors, whose sum is σ = 9353377152. Its totient is φ = 1522160640.

The previous prime is 4105506401. The next prime is 4105506407. The reversal of 4105506405 is 5046055014.

It is not a de Polignac number, because 4105506405 - 2² = 4105506401 is a prime.

It is a super-3 number, since 3×4105506405³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105506401) by changing a digit.

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 287 ways as a sum of consecutive naturals, for example, 61276182 + ... + 61276248.

It is an arithmetic number, because the mean of its divisors is an integer number (32477004).

Almost surely, 2^4105506405 is an apocalyptic number.

It is an amenable number.

4105506405 is an abundant number, since it is smaller than the sum of its proper divisors (5247870747).

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

4105506405 is a wasteful number, since it uses less digits than its factorization.

4105506405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 30.

The square root of 4105506405 is about 64074.2257463951. The cubic root of 4105506405 is about 1601.2368567705.

The spelling of 4105506405 in words is "four billion, one hundred five million, five hundred six thousand, four hundred five".