100842617 has 2 divisors, whose sum is σ = 100842618. Its totient is φ = 100842616.

The previous prime is 100842587. The next prime is 100842619. The reversal of 100842617 is 716248001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92525161 + 8317456 = 9619^2 + 2884^2 .

It is a cyclic number.

It is not a de Polignac number, because 100842617 - 2⁸ = 100842361 is a prime.

Together with 100842619, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_5807054 and since 100842617 and 5807054 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 100842617.

It is not a weakly prime, because it can be changed into another prime (100842619) 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, 50421308 + 50421309.

It is an arithmetic number, because the mean of its divisors is an integer number (50421309).

Almost surely, 2^100842617 is an apocalyptic number.

It is an amenable number.

100842617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100842617 is an equidigital number, since it uses as much as digits as its factorization.

100842617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 29.

The square root of 100842617 is about 10042.0424715294. The cubic root of 100842617 is about 465.4589325775.

The spelling of 100842617 in words is "one hundred million, eight hundred forty-two thousand, six hundred seventeen".