4105221000 has 128 divisors (see below), whose sum is σ = 13050460800. Its totient is φ = 1074028800.

The previous prime is 4105220989. The next prime is 4105221011. The reversal of 4105221000 is 1225014.

It is an interprime number because it is at equal distance from previous prime (4105220989) and next prime (4105221011).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146091 + ... + 171909.

It is an arithmetic number, because the mean of its divisors is an integer number (101956725).

Almost surely, 2^4105221000 is an apocalyptic number.

4105221000 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 4105221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6525230400).

4105221000 is an abundant number, since it is smaller than the sum of its proper divisors (8945239800).

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

4105221000 is a wasteful number, since it uses less digits than its factorization.

4105221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25896 (or 25882 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 4105221000 is about 64071.9985641154. The cubic root of 4105221000 is about 1601.1997511900.

Adding to 4105221000 its reverse (1225014), we get a palindrome (4106446014).

The spelling of 4105221000 in words is "four billion, one hundred five million, two hundred twenty-one thousand".