243552140100 has 216 divisors, whose sum is σ = 790817587560. Its totient is φ = 62650368000.

The previous prime is 243552140081. The next prime is 243552140107. The reversal of 243552140100 is 1041255342.

243552140100 is a `hidden beast` number, since 2 + 4 + 3 + 552 + 1 + 4 + 0 + 100 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 147506692356 + 96045447744 = 384066^2 + 309912^2 .

It is a super-3 number, since 3×243552140100³ (a number of 35 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (243552140107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3247020 + ... + 3321180.

It is an arithmetic number, because the mean of its divisors is an integer number (3661192535).

Almost surely, 2^243552140100 is an apocalyptic number.

243552140100 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 243552140100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395408793780).

243552140100 is an abundant number, since it is smaller than the sum of its proper divisors (547265447460).

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

243552140100 is a wasteful number, since it uses less digits than its factorization.

243552140100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74311 (or 74301 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 243552140100 its reverse (1041255342), we get a palindrome (244593395442).

The spelling of 243552140100 in words is "two hundred forty-three billion, five hundred fifty-two million, one hundred forty thousand, one hundred".