10106000600617 has 2 divisors, whose sum is σ = 10106000600618. Its totient is φ = 10106000600616.

The previous prime is 10106000600593. The next prime is 10106000600629. The reversal of 10106000600617 is 71600600060101.

10106000600617 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10043961746841 + 62038853776 = 3169221^2 + 249076^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-10106000600617 is a prime.

It is not a weakly prime, because it can be changed into another prime (10106000600117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5053000300308 + 5053000300309.

It is an arithmetic number, because the mean of its divisors is an integer number (5053000300309).

Almost surely, 2^{10106000600617} is an apocalyptic number.

It is an amenable number.

10106000600617 is a deficient number, since it is larger than the sum of its proper divisors (1).

10106000600617 is an equidigital number, since it uses as much as digits as its factorization.

10106000600617 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1512, while the sum is 28.

Adding to 10106000600617 its reverse (71600600060101), we get a palindrome (81706600660718).

The spelling of 10106000600617 in words is "ten trillion, one hundred six billion, six hundred thousand, six hundred seventeen".