100905017 has 2 divisors, whose sum is σ = 100905018. Its totient is φ = 100905016.

The previous prime is 100904983. The next prime is 100905023. The reversal of 100905017 is 710509001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77246521 + 23658496 = 8789^2 + 4864^2 .

It is an emirp because it is prime and its reverse (710509001) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100905017 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 100904983 and 100905001.

It is not a weakly prime, because it can be changed into another prime (100905037) 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 as a sum of consecutive naturals, namely, 50452508 + 50452509.

It is an arithmetic number, because the mean of its divisors is an integer number (50452509).

Almost surely, 2^100905017 is an apocalyptic number.

It is an amenable number.

100905017 is a deficient number, since it is larger than the sum of its proper divisors (1).

100905017 is an equidigital number, since it uses as much as digits as its factorization.

100905017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 315, while the sum is 23.

The square root of 100905017 is about 10045.1489287118. The cubic root of 100905017 is about 465.5549192727.

The spelling of 100905017 in words is "one hundred million, nine hundred five thousand, seventeen".