109800 has 72 divisors (see below), whose sum is σ = 374790. Its totient is φ = 28800.

The previous prime is 109793. The next prime is 109807. The reversal of 109800 is 8901.

It is an interprime number because it is at equal distance from previous prime (109793) and next prime (109807).

It can be written as a sum of positive squares in 3 ways, for example, as 49284 + 60516 = 222^2 + 246^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (109807) by changing a digit.

109800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1770 + ... + 1830.

2¹⁰⁹⁸⁰⁰ is an apocalyptic number.

109800 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 109800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187395).

109800 is an abundant number, since it is smaller than the sum of its proper divisors (264990).

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

109800 is a wasteful number, since it uses less digits than its factorization.

109800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 109800 is about 331.3608305156. The cubic root of 109800 is about 47.8851420453.

It can be divided in two parts, 109 and 800, that added together give a palindrome (909).

The spelling of 109800 in words is "one hundred nine thousand, eight hundred".