117106720 has 48 divisors (see below), whose sum is σ = 277904088. Its totient is φ = 46632960.

The previous prime is 117106697. The next prime is 117106721. The reversal of 117106720 is 27601711.

It can be written as a sum of positive squares in 4 ways, for example, as 114832656 + 2274064 = 10716^2 + 1508^2 .

It is not an unprimeable number, because it can be changed into a prime (117106721) 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 in 7 ways as a sum of consecutive naturals, for example, 37042 + ... + 40078.

Almost surely, 2^117106720 is an apocalyptic number.

117106720 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 117106720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138952044).

117106720 is an abundant number, since it is smaller than the sum of its proper divisors (160797368).

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

117106720 is a wasteful number, since it uses less digits than its factorization.

117106720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3293 (or 3285 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 117106720 is about 10821.5858357267. The cubic root of 117106720 is about 489.2459873415.

The spelling of 117106720 in words is "one hundred seventeen million, one hundred six thousand, seven hundred twenty".