243605100 has 72 divisors (see below), whose sum is σ = 716829120. Its totient is φ = 63855680.

The previous prime is 243605093. The next prime is 243605101. The reversal of 243605100 is 1506342.

It is a happy number.

243605100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (243605101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10819 + ... + 24581.

It is an arithmetic number, because the mean of its divisors is an integer number (9955960).

Almost surely, 2^243605100 is an apocalyptic number.

243605100 is a gapful number since it is divisible by the number (20) 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 243605100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358414560).

243605100 is an abundant number, since it is smaller than the sum of its proper divisors (473224020).

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

243605100 is a wasteful number, since it uses less digits than its factorization.

243605100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13839 (or 13832 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 243605100 is about 15607.8537922419. The cubic root of 243605100 is about 624.5426841278.

The spelling of 243605100 in words is "two hundred forty-three million, six hundred five thousand, one hundred".