102005217 has 8 divisors (see below), whose sum is σ = 151118880. Its totient is φ = 68003460.

The previous prime is 102005191. The next prime is 102005261. The reversal of 102005217 is 712500201.

It is not a de Polignac number, because 102005217 - 2¹⁰ = 102004193 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102005217.

It is not an unprimeable number, because it can be changed into a prime (102001217) 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, 1888959 + ... + 1889012.

It is an arithmetic number, because the mean of its divisors is an integer number (18889860).

Almost surely, 2^102005217 is an apocalyptic number.

It is an amenable number.

102005217 is a deficient number, since it is larger than the sum of its proper divisors (49113663).

102005217 is an equidigital number, since it uses as much as digits as its factorization.

102005217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3777980 (or 3777974 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 102005217 is about 10099.7632150462. The cubic root of 102005217 is about 467.2408385621.

Adding to 102005217 its reverse (712500201), we get a palindrome (814505418).

The spelling of 102005217 in words is "one hundred two million, five thousand, two hundred seventeen".