4105107360 has 144 divisors (see below), whose sum is σ = 14119612416. Its totient is φ = 1086027264.

The previous prime is 4105107343. The next prime is 4105107373. The reversal of 4105107360 is 637015014.

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 171657 + ... + 194103.

It is an arithmetic number, because the mean of its divisors is an integer number (98052864).

Almost surely, 2^4105107360 is an apocalyptic number.

4105107360 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4105107360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7059806208).

4105107360 is an abundant number, since it is smaller than the sum of its proper divisors (10014505056).

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

4105107360 is a wasteful number, since it uses less digits than its factorization.

4105107360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22595 (or 22584 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 4105107360 is about 64071.1117431249. Note that the first 3 decimals coincide. The cubic root of 4105107360 is about 1601.1849763444.

The spelling of 4105107360 in words is "four billion, one hundred five million, one hundred seven thousand, three hundred sixty".