244142100 has 252 divisors, whose sum is σ = 845313084. Its totient is φ = 60963840.

The previous prime is 244142051. The next prime is 244142159. The reversal of 244142100 is 1241442.

244142100 is a `hidden beast` number, since 244 + 1 + 421 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 25220484 + 218921616 = 5022^2 + 14796^2 .

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

It is a congruent number.

It is an unprimeable number.

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 83 ways as a sum of consecutive naturals, for example, 1239202 + ... + 1239398.

It is an arithmetic number, because the mean of its divisors is an integer number (3354417).

Almost surely, 2^244142100 is an apocalyptic number.

244142100 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 244142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422656542).

244142100 is an abundant number, since it is smaller than the sum of its proper divisors (601170984).

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

244142100 is a wasteful number, since it uses less digits than its factorization.

244142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 244142100 is about 15625.0471999287. The cubic root of 244142100 is about 625.0012586641.

Adding to 244142100 its reverse (1241442), we get a palindrome (245383542).

The spelling of 244142100 in words is "two hundred forty-four million, one hundred forty-two thousand, one hundred".