209882106 has 96 divisors (see below), whose sum is σ = 545875200. Its totient is φ = 57012480.

The previous prime is 209882087. The next prime is 209882117. The reversal of 209882106 is 601288902.

209882106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 259030 + ... + 259838.

It is an arithmetic number, because the mean of its divisors is an integer number (5686200).

Almost surely, 2^209882106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 209882106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272937600).

209882106 is an abundant number, since it is smaller than the sum of its proper divisors (335993094).

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

209882106 is a wasteful number, since it uses less digits than its factorization.

209882106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 209882106 is about 14487.3084456706. The cubic root of 209882106 is about 594.2809438621.

The spelling of 209882106 in words is "two hundred nine million, eight hundred eighty-two thousand, one hundred six".