105221325 has 24 divisors (see below), whose sum is σ = 189782496. Its totient is φ = 51016000.

The previous prime is 105221321. The next prime is 105221353. The reversal of 105221325 is 523122501.

It is not a de Polignac number, because 105221325 - 2² = 105221321 is a prime.

It is a super-2 number, since 2×105221325² = 22143054469511250, which contains 22 as substring.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 62946 + ... + 64595.

It is an arithmetic number, because the mean of its divisors is an integer number (7907604).

Almost surely, 2^105221325 is an apocalyptic number.

105221325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105221325 is a deficient number, since it is larger than the sum of its proper divisors (84561171).

105221325 is a wasteful number, since it uses less digits than its factorization.

105221325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127565 (or 127560 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 105221325 is about 10257.7446351525. The cubic root of 105221325 is about 472.1006395691.

Adding to 105221325 its reverse (523122501), we get a palindrome (628343826).

The spelling of 105221325 in words is "one hundred five million, two hundred twenty-one thousand, three hundred twenty-five".