116531200 has 84 divisors (see below), whose sum is σ = 289487610. Its totient is φ = 46530560.

The previous prime is 116531183. The next prime is 116531203. The reversal of 116531200 is 2135611.

It can be written as a sum of positive squares in 3 ways, for example, as 66064384 + 50466816 = 8128^2 + 7104^2 .

It is not an unprimeable number, because it can be changed into a prime (116531203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 204516 + ... + 205084.

Almost surely, 2^116531200 is an apocalyptic number.

116531200 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 116531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144743805).

116531200 is an abundant number, since it is smaller than the sum of its proper divisors (172956410).

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

116531200 is an frugal number, since it uses more digits than its factorization.

116531200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 605 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

The square root of 116531200 is about 10794.9617877971. The cubic root of 116531200 is about 488.4432057040.

Adding to 116531200 its reverse (2135611), we get a palindrome (118666811).

The spelling of 116531200 in words is "one hundred sixteen million, five hundred thirty-one thousand, two hundred".