117288900 has 135 divisors (see below), whose sum is σ = 388059581. Its totient is φ = 29630880.

The previous prime is 117288887. The next prime is 117288929. The reversal of 117288900 is 9882711.

The square root of 117288900 is 10830.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 42224004 + 75064896 = 6498^2 + 8664^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is a zygodrome in base 5.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6173091 + ... + 6173109.

Almost surely, 2^117288900 is an apocalyptic number.

117288900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

117288900 is the 10830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 117288900

117288900 is an abundant number, since it is smaller than the sum of its proper divisors (270770681).

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

117288900 is an equidigital number, since it uses as much as digits as its factorization.

117288900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The cubic root of 117288900 is about 489.4995584840.

Multiplying 117288900 by its sum of digits (36), we get a square (4222400400 = 64980²).

117288900 divided by its sum of digits (36) gives a square (3258025 = 1805²).

The spelling of 117288900 in words is "one hundred seventeen million, two hundred eighty-eight thousand, nine hundred".