105221006 has 64 divisors (see below), whose sum is σ = 188116992. Its totient is φ = 43680000.

The previous prime is 105221003. The next prime is 105221023. The reversal of 105221006 is 600122501.

It is a super-2 number, since 2×105221006² = 22142920207304072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105221003) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1481951 + ... + 1482021.

It is an arithmetic number, because the mean of its divisors is an integer number (2939328).

Almost surely, 2^105221006 is an apocalyptic number.

105221006 is a deficient number, since it is larger than the sum of its proper divisors (82895986).

105221006 is a wasteful number, since it uses less digits than its factorization.

105221006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209.

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 105221006 is about 10257.7290859137. The cubic root of 105221006 is about 472.1001624787.

Adding to 105221006 its reverse (600122501), we get a palindrome (705343507).

The spelling of 105221006 in words is "one hundred five million, two hundred twenty-one thousand, six".