116100 has 72 divisors (see below), whose sum is σ = 381920. Its totient is φ = 30240.

The previous prime is 116099. The next prime is 116101. The reversal of 116100 is 1611.

It is an interprime number because it is at equal distance from previous prime (116099) and next prime (116101).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 116100.

It is not an unprimeable number, because it can be changed into a prime (116101) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2679 + ... + 2721.

2¹¹⁶¹⁰⁰ is an apocalyptic number.

116100 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 116100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190960).

116100 is an abundant number, since it is smaller than the sum of its proper divisors (265820).

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

116100 is a wasteful number, since it uses less digits than its factorization.

116100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 116100 is about 340.7345007480. The cubic root of 116100 is about 48.7839999504.

Adding to 116100 its reverse (1611), we get a palindrome (117711).

It can be divided in two parts, 116 and 100, that added together give a cube (216 = 6³).

The spelling of 116100 in words is "one hundred sixteen thousand, one hundred".