116601100 has 144 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 34387200.

The previous prime is 116601091. The next prime is 116601101. The reversal of 116601100 is 1106611.

It is not an unprimeable number, because it can be changed into a prime (116601101) 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 47 ways as a sum of consecutive naturals, for example, 145902 + ... + 146698.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2^116601100 is an apocalyptic number.

116601100 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 116601100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

116601100 is an abundant number, since it is smaller than the sum of its proper divisors (215877620).

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

116601100 is a wasteful number, since it uses less digits than its factorization.

116601100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

The square root of 116601100 is about 10798.1989238947. The cubic root of 116601100 is about 488.5408486693.

Adding to 116601100 its reverse (1106611), we get a palindrome (117707711).

The spelling of 116601100 in words is "one hundred sixteen million, six hundred one thousand, one hundred".