102007117 has 2 divisors, whose sum is σ = 102007118. Its totient is φ = 102007116.

The previous prime is 102007069. The next prime is 102007121. The reversal of 102007117 is 711700201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 76545001 + 25462116 = 8749^2 + 5046^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-102007117 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 102007094 and 102007103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102007177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51003558 + 51003559.

It is an arithmetic number, because the mean of its divisors is an integer number (51003559).

Almost surely, 2^102007117 is an apocalyptic number.

It is an amenable number.

102007117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102007117 is an equidigital number, since it uses as much as digits as its factorization.

102007117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 98, while the sum is 19.

The square root of 102007117 is about 10099.8572762193. The cubic root of 102007117 is about 467.2437395643.

Adding to 102007117 its reverse (711700201), we get a palindrome (813707318).

The spelling of 102007117 in words is "one hundred two million, seven thousand, one hundred seventeen".