105221385 has 24 divisors (see below), whose sum is σ = 182861640. Its totient is φ = 55971072.

The previous prime is 105221383. The next prime is 105221393. The reversal of 105221385 is 583122501.

It is a happy number.

105221385 is a `hidden beast` number, since 1 + 0 + 522 + 138 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 34257609 + 70963776 = 5853^2 + 8424^2 .

It is not a de Polignac number, because 105221385 - 2¹ = 105221383 is a prime.

It is a super-2 number, since 2×105221385² = 22143079722636450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105221383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15547 + ... + 21263.

It is an arithmetic number, because the mean of its divisors is an integer number (7619235).

Almost surely, 2^105221385 is an apocalyptic number.

105221385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105221385 is a deficient number, since it is larger than the sum of its proper divisors (77640255).

105221385 is a wasteful number, since it uses less digits than its factorization.

105221385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6137 (or 6134 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105221385 is about 10257.7475597716. The cubic root of 105221385 is about 472.1007293038.

Adding to 105221385 its reverse (583122501), we get a palindrome (688343886).

The spelling of 105221385 in words is "one hundred five million, two hundred twenty-one thousand, three hundred eighty-five".