105222413 has 8 divisors (see below), whose sum is σ = 108210168. Its totient is φ = 102242304.

The previous prime is 105222407. The next prime is 105222427. The reversal of 105222413 is 314222501.

It can be written as a sum of positive squares in 4 ways, for example, as 89832484 + 15389929 = 9478^2 + 3923^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105222413 - 2¹² = 105218317 is a prime.

It is a super-2 number, since 2×105222413² = 22143512395085138, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105222433) 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 7 ways as a sum of consecutive naturals, for example, 36845 + ... + 39597.

It is an arithmetic number, because the mean of its divisors is an integer number (13526271).

Almost surely, 2^105222413 is an apocalyptic number.

It is an amenable number.

105222413 is a deficient number, since it is larger than the sum of its proper divisors (2987755).

105222413 is a wasteful number, since it uses less digits than its factorization.

105222413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3823.

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 105222413 is about 10257.7976681157. The cubic root of 105222413 is about 472.1022667542.

Adding to 105222413 its reverse (314222501), we get a palindrome (419444914).

The spelling of 105222413 in words is "one hundred five million, two hundred twenty-two thousand, four hundred thirteen".