108100 has 36 divisors (see below), whose sum is σ = 249984. Its totient is φ = 40480.

The previous prime is 108089. The next prime is 108107. The reversal of 108100 is 1801.

108100 = 23² + 24² + ... + 69².

It is a super-2 number, since 2×108100² = 23371220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108107) by changing a digit.

108100 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 2277 + ... + 2323.

It is an arithmetic number, because the mean of its divisors is an integer number (6944).

2¹⁰⁸¹⁰⁰ is an apocalyptic number.

108100 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 108100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

108100 is an abundant number, since it is smaller than the sum of its proper divisors (141884).

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

108100 is a wasteful number, since it uses less digits than its factorization.

108100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 108100 is about 328.7856444555. The cubic root of 108100 is about 47.6367251828.

Adding to 108100 its reverse (1801), we get a palindrome (109901).

The spelling of 108100 in words is "one hundred eight thousand, one hundred".