109361800 has 72 divisors (see below), whose sum is σ = 263194650. Its totient is φ = 42259200.

The previous prime is 109361783. The next prime is 109361807. The reversal of 109361800 is 8163901.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 61999876 + 47361924 = 7874^2 + 6882^2 .

It is not an unprimeable number, because it can be changed into a prime (109361807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 191916 + ... + 192484.

Almost surely, 2^109361800 is an apocalyptic number.

109361800 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 109361800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131597325).

109361800 is an abundant number, since it is smaller than the sum of its proper divisors (153832850).

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

109361800 is a wasteful number, since it uses less digits than its factorization.

109361800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 647 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 109361800 is about 10457.6192319285. The cubic root of 109361800 is about 478.2135562969.

The spelling of 109361800 in words is "one hundred nine million, three hundred sixty-one thousand, eight hundred".