117313105 has 24 divisors (see below), whose sum is σ = 176361192. Its totient is φ = 74253312.

The previous prime is 117313099. The next prime is 117313109. The reversal of 117313105 is 501313711.

It can be written as a sum of positive squares in 4 ways, for example, as 5143824 + 112169281 = 2268^2 + 10591^2 .

It is not a de Polignac number, because 117313105 - 2¹⁵ = 117280337 is a prime.

It is not an unprimeable number, because it can be changed into a prime (117313109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15232 + ... + 21601.

It is an arithmetic number, because the mean of its divisors is an integer number (7348383).

Almost surely, 2^117313105 is an apocalyptic number.

It is an amenable number.

117313105 is a deficient number, since it is larger than the sum of its proper divisors (59048087).

117313105 is a wasteful number, since it uses less digits than its factorization.

117313105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36865 (or 36858 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 117313105 is about 10831.1174400428. The cubic root of 117313105 is about 489.5332289673.

Adding to 117313105 its reverse (501313711), we get a palindrome (618626816).

The spelling of 117313105 in words is "one hundred seventeen million, three hundred thirteen thousand, one hundred five".