103580217 has 12 divisors (see below), whose sum is σ = 161124964. Its totient is φ = 63741600.

The previous prime is 103580203. The next prime is 103580219. The reversal of 103580217 is 712085301.

It can be written as a sum of positive squares in 2 ways, for example, as 14107536 + 89472681 = 3756^2 + 9459^2 .

It is not a de Polignac number, because 103580217 - 2⁷ = 103580089 is a prime.

It is a super-3 number, since 3×103580217³ (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 (103580219) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 442534 + ... + 442767.

Almost surely, 2^103580217 is an apocalyptic number.

It is an amenable number.

103580217 is a deficient number, since it is larger than the sum of its proper divisors (57544747).

103580217 is a wasteful number, since it uses less digits than its factorization.

103580217 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885320 (or 885317 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 103580217 is about 10177.4366615568. The cubic root of 103580217 is about 469.6333597555.

The spelling of 103580217 in words is "one hundred three million, five hundred eighty thousand, two hundred seventeen".