100004017 has 2 divisors, whose sum is σ = 100004018. Its totient is φ = 100004016.

The previous prime is 100003963. The next prime is 100004027. The reversal of 100004017 is 710400001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99680256 + 323761 = 9984^2 + 569^2 .

It is an emirp because it is prime and its reverse (710400001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100004017 is a prime.

It is a super-2 number, since 2×100004017² = 20001606832272578, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100003988 and 100004006.

It is not a weakly prime, because it can be changed into another prime (100004027) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50002008 + 50002009.

It is an arithmetic number, because the mean of its divisors is an integer number (50002009).

Almost surely, 2^100004017 is an apocalyptic number.

It is an amenable number.

100004017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100004017 is an equidigital number, since it uses as much as digits as its factorization.

100004017 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 28, while the sum is 13.

The square root of 100004017 is about 10000.2008479830. The cubic root of 100004017 is about 464.1650983655.

Adding to 100004017 its reverse (710400001), we get a palindrome (810404018).

The spelling of 100004017 in words is "one hundred million, four thousand, seventeen".