4105416 has 48 divisors (see below), whose sum is σ = 11942640. Its totient is φ = 1172640.

The previous prime is 4105399. The next prime is 4105457. The reversal of 4105416 is 6145014.

4105416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an alternating number because its digits alternate between even and odd.

It is a junction number, because it is equal to n+sod(n) for n = 4105392 and 4105401.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 570 + ... + 2921.

It is an arithmetic number, because the mean of its divisors is an integer number (248805).

Almost surely, 2^4105416 is an apocalyptic number.

It is an amenable number.

4105416 is an abundant number, since it is smaller than the sum of its proper divisors (7837224).

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

4105416 is a wasteful number, since it uses less digits than its factorization.

4105416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3514 (or 3503 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 4105416 is about 2026.1826176335. The cubic root of 4105416 is about 160.1225103378.

The spelling of 4105416 in words is "four million, one hundred five thousand, four hundred sixteen".