100310006617 has 2 divisors, whose sum is σ = 100310006618. Its totient is φ = 100310006616.

The previous prime is 100310006609. The next prime is 100310006623. The reversal of 100310006617 is 716600013001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68198800201 + 32111206416 = 261149^2 + 179196^2 .

It is a cyclic number.

It is not a de Polignac number, because 100310006617 - 2³ = 100310006609 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100310006591 and 100310006600.

It is not a weakly prime, because it can be changed into another prime (100310006117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50155003308 + 50155003309.

It is an arithmetic number, because the mean of its divisors is an integer number (50155003309).

Almost surely, 2^100310006617 is an apocalyptic number.

It is an amenable number.

100310006617 is a deficient number, since it is larger than the sum of its proper divisors (1).

100310006617 is an equidigital number, since it uses as much as digits as its factorization.

100310006617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 756, while the sum is 25.

Adding to 100310006617 its reverse (716600013001), we get a palindrome (816910019618).

The spelling of 100310006617 in words is "one hundred billion, three hundred ten million, six thousand, six hundred seventeen".