110000117 has 2 divisors, whose sum is σ = 110000118. Its totient is φ = 110000116.

The previous prime is 110000083. The next prime is 110000159. The reversal of 110000117 is 711000011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 69372241 + 40627876 = 8329^2 + 6374^2 .

It is a cyclic number.

It is not a de Polignac number, because 110000117 - 2⁸ = 109999861 is a prime.

It is a Chen prime.

110000117 is a modest number, since divided by 117 gives 110 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 110000098 and 110000107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110000197) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55000058 + 55000059.

It is an arithmetic number, because the mean of its divisors is an integer number (55000059).

Almost surely, 2^110000117 is an apocalyptic number.

It is an amenable number.

110000117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110000117 is an equidigital number, since it uses as much as digits as its factorization.

110000117 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7, while the sum is 11.

The square root of 110000117 is about 10488.0940594562. The cubic root of 110000117 is about 479.1421555838.

Adding to 110000117 its reverse (711000011), we get a palindrome (821000128).

It can be divided in two parts, 11000011 and 7, that multiplied together give a palindrome (77000077).

The spelling of 110000117 in words is "one hundred ten million, one hundred seventeen", and thus it is an aban number.