103563917 has 12 divisors (see below), whose sum is σ = 109129020. Its totient is φ = 98269248.

The previous prime is 103563883. The next prime is 103563919. The reversal of 103563917 is 719365301.

It can be written as a sum of positive squares in 2 ways, for example, as 29964676 + 73599241 = 5474^2 + 8579^2 .

It is not a de Polignac number, because 103563917 - 2¹² = 103559821 is a prime.

It is a super-3 number, since 3×103563917³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103563919) 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, 71759 + ... + 73187.

It is an arithmetic number, because the mean of its divisors is an integer number (9094085).

Almost surely, 2^103563917 is an apocalyptic number.

It is an amenable number.

103563917 is a deficient number, since it is larger than the sum of its proper divisors (5565103).

103563917 is a wasteful number, since it uses less digits than its factorization.

103563917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1612 (or 1589 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 35.

The square root of 103563917 is about 10176.6358390187. The cubic root of 103563917 is about 469.6087236954.

The spelling of 103563917 in words is "one hundred three million, five hundred sixty-three thousand, nine hundred seventeen".