105228259 has 8 divisors (see below), whose sum is σ = 109555520. Its totient is φ = 100979136.

The previous prime is 105228223. The next prime is 105228271. The reversal of 105228259 is 952822501.

It is a happy number.

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 105228259 - 2⁷ = 105228131 is a prime.

It is a super-3 number, since 3×105228259³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105225259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16779 + ... + 22180.

It is an arithmetic number, because the mean of its divisors is an integer number (13694440).

Almost surely, 2^105228259 is an apocalyptic number.

105228259 is a deficient number, since it is larger than the sum of its proper divisors (4327261).

105228259 is an equidigital number, since it uses as much as digits as its factorization.

105228259 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39069.

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 105228259 is about 10258.0826181114. The cubic root of 105228259 is about 472.1110096911. Note that the first 3 decimals are identical.

It can be divided in two parts, 10522 and 8259, that added together give a palindrome (18781).

The spelling of 105228259 in words is "one hundred five million, two hundred twenty-eight thousand, two hundred fifty-nine".