110107117 has 2 divisors, whose sum is σ = 110107118. Its totient is φ = 110107116.

The previous prime is 110107111. The next prime is 110107121. The reversal of 110107117 is 711701011.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90269001 + 19838116 = 9501^2 + 4454^2 .

It is a cyclic number.

It is not a de Polignac number, because 110107117 - 2¹⁹ = 109582829 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 110107094 and 110107103.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (110107111) 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, 55053558 + 55053559.

It is an arithmetic number, because the mean of its divisors is an integer number (55053559).

Almost surely, 2^110107117 is an apocalyptic number.

It is an amenable number.

110107117 is a deficient number, since it is larger than the sum of its proper divisors (1).

110107117 is an equidigital number, since it uses as much as digits as its factorization.

110107117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 49, while the sum is 19.

The square root of 110107117 is about 10493.1938417243. The cubic root of 110107117 is about 479.2974632863.

Adding to 110107117 its reverse (711701011), we get a palindrome (821808128).

It can be divided in two parts, 110107 and 117, that added together give a square (110224 = 332²).

The spelling of 110107117 in words is "one hundred ten million, one hundred seven thousand, one hundred seventeen".