116900 has 36 divisors (see below), whose sum is σ = 291648. Its totient is φ = 39840.

The previous prime is 116881. The next prime is 116903. The reversal of 116900 is 9611.

116900 = 56² + 57² + ... + 80².

It is a super-2 number, since 2×116900² = 27331220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116903) by changing a digit.

116900 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 617 + ... + 783.

2¹¹⁶⁹⁰⁰ is an apocalyptic number.

116900 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 116900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145824).

116900 is an abundant number, since it is smaller than the sum of its proper divisors (174748).

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

116900 is a wasteful number, since it uses less digits than its factorization.

116900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 116900 is about 341.9064199456. The cubic root of 116900 is about 48.8957940966.

The spelling of 116900 in words is "one hundred sixteen thousand, nine hundred".