101604017 has 2 divisors, whose sum is σ = 101604018. Its totient is φ = 101604016.

The previous prime is 101603981. The next prime is 101604037. The reversal of 101604017 is 710406101.

It is an a-pointer prime, because the next prime (101604037) can be obtained adding 101604017 to its sum of digits (20).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52548001 + 49056016 = 7249^2 + 7004^2 .

It is an emirp because it is prime and its reverse (710406101) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-101604017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 101604017.

It is not a weakly prime, because it can be changed into another prime (101604037) 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 as a sum of consecutive naturals, namely, 50802008 + 50802009.

It is an arithmetic number, because the mean of its divisors is an integer number (50802009).

Almost surely, 2^101604017 is an apocalyptic number.

It is an amenable number.

101604017 is a deficient number, since it is larger than the sum of its proper divisors (1).

101604017 is an equidigital number, since it uses as much as digits as its factorization.

101604017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 101604017 is about 10079.8817949418. The cubic root of 101604017 is about 466.6274603684.

The spelling of 101604017 in words is "one hundred one million, six hundred four thousand, seventeen".