105240217 has 18 divisors (see below), whose sum is σ = 116050298. Its totient is φ = 95413248.

The previous prime is 105240211. The next prime is 105240253. The reversal of 105240217 is 712042501.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 8886361 + 96353856 = 2981^2 + 9816^2 .

It is not a de Polignac number, because 105240217 - 2³ = 105240209 is a prime.

It is a super-2 number, since 2×105240217² = 22151006548414178, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105240211) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 242833 + ... + 243265.

Almost surely, 2^105240217 is an apocalyptic number.

105240217 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

105240217 is a deficient number, since it is larger than the sum of its proper divisors (10810081).

105240217 is an equidigital number, since it uses as much as digits as its factorization.

105240217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 105240217 is about 10258.6654590156. The cubic root of 105240217 is about 472.1288923703.

Adding to 105240217 its reverse (712042501), we get a palindrome (817282718).

The spelling of 105240217 in words is "one hundred five million, two hundred forty thousand, two hundred seventeen".