117055200 has 288 divisors, whose sum is σ = 427472640. Its totient is φ = 27648000.

The previous prime is 117055199. The next prime is 117055201. The reversal of 117055200 is 2550711.

It is an interprime number because it is at equal distance from previous prime (117055199) and next prime (117055201).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117055201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 775125 + ... + 775275.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280).

Almost surely, 2^117055200 is an apocalyptic number.

117055200 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 117055200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213736320).

117055200 is an abundant number, since it is smaller than the sum of its proper divisors (310417440).

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

117055200 is a wasteful number, since it uses less digits than its factorization.

117055200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 117055200 is about 10819.2051464052. The cubic root of 117055200 is about 489.1742304274.

The spelling of 117055200 in words is "one hundred seventeen million, fifty-five thousand, two hundred".