117105120 has 144 divisors (see below), whose sum is σ = 436009392. Its totient is φ = 28385280.

The previous prime is 117105119. The next prime is 117105127. The reversal of 117105120 is 21501711.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 117105093 and 117105102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117105127) 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, 12144 + ... + 19536.

It is an arithmetic number, because the mean of its divisors is an integer number (3027843).

Almost surely, 2^117105120 is an apocalyptic number.

117105120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117105120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218004696).

117105120 is an abundant number, since it is smaller than the sum of its proper divisors (318904272).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

117105120 is a wasteful number, since it uses less digits than its factorization.

117105120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7425 (or 7414 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 117105120 is about 10821.5119091558. The cubic root of 117105120 is about 489.2437591826.

Adding to 117105120 its reverse (21501711), we get a palindrome (138606831).

The spelling of 117105120 in words is "one hundred seventeen million, one hundred five thousand, one hundred twenty".