220105308 has 48 divisors (see below), whose sum is σ = 538030080. Its totient is φ = 69900864.

The previous prime is 220105247. The next prime is 220105357. The reversal of 220105308 is 803501022.

220105308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75013 + ... + 77891.

It is an arithmetic number, because the mean of its divisors is an integer number (11208960).

Almost surely, 2^220105308 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220105308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269015040).

220105308 is an abundant number, since it is smaller than the sum of its proper divisors (317924772).

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

220105308 is a wasteful number, since it uses less digits than its factorization.

220105308 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3186 (or 3184 counting only the distinct ones).

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

The square root of 220105308 is about 14835.9464814349. The cubic root of 220105308 is about 603.7773802036. Note that the first 3 decimals are identical.

The spelling of 220105308 in words is "two hundred twenty million, one hundred five thousand, three hundred eight".