117371200 has 84 divisors (see below), whose sum is σ = 291889180. Its totient is φ = 46448640.

The previous prime is 117371197. The next prime is 117371201. The reversal of 117371200 is 2173711.

It can be written as a sum of positive squares in 6 ways, for example, as 1937664 + 115433536 = 1392^2 + 10744^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117371201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 174064 + ... + 174736.

Almost surely, 2^117371200 is an apocalyptic number.

117371200 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 117371200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145944590).

117371200 is an abundant number, since it is smaller than the sum of its proper divisors (174517980).

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

117371200 is a wasteful number, since it uses less digits than its factorization.

117371200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 294, while the sum is 22.

The square root of 117371200 is about 10833.7989643523. The cubic root of 117371200 is about 489.6140234068.

The spelling of 117371200 in words is "one hundred seventeen million, three hundred seventy-one thousand, two hundred".