116197200 has 480 divisors, whose sum is σ = 498182400. Its totient is φ = 25159680.

The previous prime is 116197199. The next prime is 116197201. The reversal of 116197200 is 2791611.

It is an interprime number because it is at equal distance from previous prime (116197199) and next prime (116197201).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116197201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2192374 + ... + 2192426.

It is an arithmetic number, because the mean of its divisors is an integer number (1037880).

Almost surely, 2^116197200 is an apocalyptic number.

116197200 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 116197200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249091200).

116197200 is an abundant number, since it is smaller than the sum of its proper divisors (381985200).

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

116197200 is a wasteful number, since it uses less digits than its factorization.

116197200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 27.

The square root of 116197200 is about 10779.4805069632. The cubic root of 116197200 is about 487.9761029237.

The spelling of 116197200 in words is "one hundred sixteen million, one hundred ninety-seven thousand, two hundred".