116541800 has 96 divisors (see below), whose sum is σ = 290070720. Its totient is φ = 43392000.

The previous prime is 116541797. The next prime is 116541809. The reversal of 116541800 is 8145611.

It is a super-2 number, since 2×116541800² = 27163982294480000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 116541800.

It is not an unprimeable number, because it can be changed into a prime (116541809) 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 23 ways as a sum of consecutive naturals, for example, 513287 + ... + 513513.

It is an arithmetic number, because the mean of its divisors is an integer number (3021570).

Almost surely, 2^116541800 is an apocalyptic number.

116541800 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 116541800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145035360).

116541800 is an abundant number, since it is smaller than the sum of its proper divisors (173528920).

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

116541800 is a wasteful number, since it uses less digits than its factorization.

116541800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 26.

The square root of 116541800 is about 10795.4527464113. The cubic root of 116541800 is about 488.4580153029.

The spelling of 116541800 in words is "one hundred sixteen million, five hundred forty-one thousand, eight hundred".