116107100 has 72 divisors (see below), whose sum is σ = 270451440. Its totient is φ = 43130880.

The previous prime is 116107087. The next prime is 116107109. The reversal of 116107100 is 1701611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116107109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100124 + ... + 101276.

It is an arithmetic number, because the mean of its divisors is an integer number (3756270).

Almost surely, 2^116107100 is an apocalyptic number.

116107100 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 116107100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135225720).

116107100 is an abundant number, since it is smaller than the sum of its proper divisors (154344340).

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

116107100 is a wasteful number, since it uses less digits than its factorization.

116107100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1232 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 17.

The square root of 116107100 is about 10775.3004598480. The cubic root of 116107100 is about 487.8499437857.

Adding to 116107100 its reverse (1701611), we get a palindrome (117808711).

The spelling of 116107100 in words is "one hundred sixteen million, one hundred seven thousand, one hundred".