105221331 has 6 divisors (see below), whose sum is σ = 151986380. Its totient is φ = 70147548.

The previous prime is 105221321. The next prime is 105221353. The reversal of 105221331 is 133122501.

105221331 is a `hidden beast` number, since 10 + 522 + 133 + 1 = 666.

It is not a de Polignac number, because 105221331 - 2⁵ = 105221299 is a prime.

It is a super-2 number, since 2×105221331² = 22143056994823122, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105221321) 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 5 ways as a sum of consecutive naturals, for example, 5845621 + ... + 5845638.

Almost surely, 2^105221331 is an apocalyptic number.

105221331 is a deficient number, since it is larger than the sum of its proper divisors (46765049).

105221331 is a wasteful number, since it uses less digits than its factorization.

105221331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11691265 (or 11691262 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 105221331 is about 10257.7449276145. The cubic root of 105221331 is about 472.1006485426.

Adding to 105221331 its reverse (133122501), we get a palindrome (238343832).

The spelling of 105221331 in words is "one hundred five million, two hundred twenty-one thousand, three hundred thirty-one".