105613217 has 8 divisors (see below), whose sum is σ = 110385024. Its totient is φ = 100856448.

The previous prime is 105613201. The next prime is 105613241. The reversal of 105613217 is 712316501.

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 105613217 - 2⁴ = 105613201 is a prime.

It is a super-2 number, since 2×105613217² = 22308303210178178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105613297) 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 7 ways as a sum of consecutive naturals, for example, 12068 + ... + 18890.

It is an arithmetic number, because the mean of its divisors is an integer number (13798128).

Almost surely, 2^105613217 is an apocalyptic number.

It is an amenable number.

105613217 is a deficient number, since it is larger than the sum of its proper divisors (4771807).

105613217 is an equidigital number, since it uses as much as digits as its factorization.

105613217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7519.

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 105613217 is about 10276.8291315950. The cubic root of 105613217 is about 472.6860191576.

Adding to 105613217 its reverse (712316501), we get a palindrome (817929718).

The spelling of 105613217 in words is "one hundred five million, six hundred thirteen thousand, two hundred seventeen".