105322005 has 16 divisors (see below), whose sum is σ = 187239360. Its totient is φ = 56171664.

The previous prime is 105322003. The next prime is 105322031. The reversal of 105322005 is 500223501.

It is a happy number.

It is not a de Polignac number, because 105322005 - 2¹ = 105322003 is a prime.

It is a super-3 number, since 3×105322005³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105322001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 389947 + ... + 390216.

It is an arithmetic number, because the mean of its divisors is an integer number (11702460).

Almost surely, 2^105322005 is an apocalyptic number.

105322005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105322005 is a deficient number, since it is larger than the sum of its proper divisors (81917355).

105322005 is an equidigital number, since it uses as much as digits as its factorization.

105322005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 780177 (or 780171 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 105322005 is about 10262.6509733109. The cubic root of 105322005 is about 472.2511665355.

Adding to 105322005 its reverse (500223501), we get a palindrome (605545506).

The spelling of 105322005 in words is "one hundred five million, three hundred twenty-two thousand, five".