105201217 has 8 divisors (see below), whose sum is σ = 114865632. Its totient is φ = 95553600.

The previous prime is 105201193. The next prime is 105201227. The reversal of 105201217 is 712102501.

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 105201217 - 2¹¹ = 105199169 is a prime.

It is a super-2 number, since 2×105201217² = 22134592116562178, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105201194 and 105201203.

It is not an unprimeable number, because it can be changed into a prime (105201227) 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, 11458 + ... + 18484.

It is an arithmetic number, because the mean of its divisors is an integer number (14358204).

Almost surely, 2^105201217 is an apocalyptic number.

It is an amenable number.

105201217 is a deficient number, since it is larger than the sum of its proper divisors (9664415).

105201217 is a wasteful number, since it uses less digits than its factorization.

105201217 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8399.

The product of its (nonzero) digits is 140, while the sum is 19.

The square root of 105201217 is about 10256.7644508393. The cubic root of 105201217 is about 472.0705645362.

Adding to 105201217 its reverse (712102501), we get a palindrome (817303718).

The spelling of 105201217 in words is "one hundred five million, two hundred one thousand, two hundred seventeen".