106101000617 has 2 divisors, whose sum is σ = 106101000618. Its totient is φ = 106101000616.

The previous prime is 106101000601. The next prime is 106101000619. The reversal of 106101000617 is 716000101601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 96748369936 + 9352630681 = 311044^2 + 96709^2 .

It is a cyclic number.

It is not a de Polignac number, because 106101000617 - 2⁴ = 106101000601 is a prime.

It is a super-2 number, since 2×106101000617² (a number of 23 digits) contains 22 as substring.

Together with 106101000619, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 106101000592 and 106101000601.

It is not a weakly prime, because it can be changed into another prime (106101000619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53050500308 + 53050500309.

It is an arithmetic number, because the mean of its divisors is an integer number (53050500309).

Almost surely, 2^106101000617 is an apocalyptic number.

It is an amenable number.

106101000617 is a deficient number, since it is larger than the sum of its proper divisors (1).

106101000617 is an equidigital number, since it uses as much as digits as its factorization.

106101000617 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 106101000617 in words is "one hundred six billion, one hundred one million, six hundred seventeen", and thus it is an aban number.