102004117 has 2 divisors, whose sum is σ = 102004118. Its totient is φ = 102004116.

The previous prime is 102004099. The next prime is 102004121. The reversal of 102004117 is 711400201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 70711281 + 31292836 = 8409^2 + 5594^2 .

It is a cyclic number.

It is not a de Polignac number, because 102004117 - 2¹⁵ = 101971349 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102004117.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (102004717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51002058 + 51002059.

It is an arithmetic number, because the mean of its divisors is an integer number (51002059).

Almost surely, 2^102004117 is an apocalyptic number.

It is an amenable number.

102004117 is a deficient number, since it is larger than the sum of its proper divisors (1).

102004117 is an equidigital number, since it uses as much as digits as its factorization.

102004117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 56, while the sum is 16.

The square root of 102004117 is about 10099.7087581771. The cubic root of 102004117 is about 467.2391590181.

Adding to 102004117 its reverse (711400201), we get a palindrome (813404318).

The spelling of 102004117 in words is "one hundred two million, four thousand, one hundred seventeen".