116359200 has 144 divisors (see below), whose sum is σ = 420910560. Its totient is φ = 31023360.

The previous prime is 116359181. The next prime is 116359207. The reversal of 116359200 is 2953611.

116359200 is a `hidden beast` number, since 1 + 1 + 635 + 9 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (116359207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18907 + ... + 24293.

It is an arithmetic number, because the mean of its divisors is an integer number (2922990).

Almost surely, 2^116359200 is an apocalyptic number.

116359200 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 116359200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210455280).

116359200 is an abundant number, since it is smaller than the sum of its proper divisors (304551360).

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

116359200 is a wasteful number, since it uses less digits than its factorization.

116359200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5416 (or 5397 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 116359200 is about 10786.9921664939. The cubic root of 116359200 is about 488.2027733868.

The spelling of 116359200 in words is "one hundred sixteen million, three hundred fifty-nine thousand, two hundred".