116580100 has 144 divisors (see below), whose sum is σ = 325479168. Its totient is φ = 35228160.

The previous prime is 116580091. The next prime is 116580103. The reversal of 116580100 is 1085611.

It is not an unprimeable number, because it can be changed into a prime (116580103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 209022 + ... + 209578.

It is an arithmetic number, because the mean of its divisors is an integer number (2260272).

Almost surely, 2^116580100 is an apocalyptic number.

116580100 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 116580100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162739584).

116580100 is an abundant number, since it is smaller than the sum of its proper divisors (208899068).

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

116580100 is a wasteful number, since it uses less digits than its factorization.

116580100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 22.

The square root of 116580100 is about 10797.2264957257. The cubic root of 116580100 is about 488.5115179746.

The spelling of 116580100 in words is "one hundred sixteen million, five hundred eighty thousand, one hundred".