105221406 has 32 divisors (see below), whose sum is σ = 213444000. Its totient is φ = 34577280.

The previous prime is 105221393. The next prime is 105221437. The reversal of 105221406 is 604122501.

It is a super-2 number, since 2×105221406² = 22143088561233672, 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 15 ways as a sum of consecutive naturals, for example, 228016 + ... + 228476.

It is an arithmetic number, because the mean of its divisors is an integer number (6670125).

Almost surely, 2^105221406 is an apocalyptic number.

105221406 is an abundant number, since it is smaller than the sum of its proper divisors (108222594).

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

105221406 is a wasteful number, since it uses less digits than its factorization.

105221406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 924.

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

The square root of 105221406 is about 10257.7485833881. The cubic root of 105221406 is about 472.1007607110.

Adding to 105221406 its reverse (604122501), we get a palindrome (709343907).

The spelling of 105221406 in words is "one hundred five million, two hundred twenty-one thousand, four hundred six".