105225666 has 48 divisors (see below), whose sum is σ = 259608384. Its totient is φ = 27688608.

The previous prime is 105225649. The next prime is 105225677. The reversal of 105225666 is 666522501.

It is a happy number.

It is a super-2 number, since 2×105225666² = 22144881570287112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 239475 + ... + 239913.

It is an arithmetic number, because the mean of its divisors is an integer number (5408508).

Almost surely, 2^105225666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105225666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129804192).

105225666 is an abundant number, since it is smaller than the sum of its proper divisors (154382718).

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

105225666 is an equidigital number, since it uses as much as digits as its factorization.

105225666 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 903 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The square root of 105225666 is about 10257.9562291911. The cubic root of 105225666 is about 472.1071317914.

The spelling of 105225666 in words is "one hundred five million, two hundred twenty-five thousand, six hundred sixty-six".