243672100 has 81 divisors (see below), whose sum is σ = 617868657. Its totient is φ = 83170080.

The previous prime is 243672083. The next prime is 243672113. The reversal of 243672100 is 1276342.

The square root of 243672100 is 15610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 87721956 + 155950144 = 9366^2 + 12488^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1092589 + ... + 1092811.

Almost surely, 2^243672100 is an apocalyptic number.

243672100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

243672100 is the 15610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243672100

243672100 is an abundant number, since it is smaller than the sum of its proper divisors (374196557).

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

243672100 is a wasteful number, since it uses less digits than its factorization.

243672100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The cubic root of 243672100 is about 624.5999359727.

Multiplying 243672100 by its sum of digits (25), we get a square (6091802500 = 78050²).

243672100 divided by its sum of digits (25) gives a square (9746884 = 3122²).

The spelling of 243672100 in words is "two hundred forty-three million, six hundred seventy-two thousand, one hundred".