241142100 has 72 divisors (see below), whose sum is σ = 700975968. Its totient is φ = 64003200.

The previous prime is 241142081. The next prime is 241142107. The reversal of 241142100 is 1241142.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 241142100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241142107) 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, 66330 + ... + 69870.

Almost surely, 2^241142100 is an apocalyptic number.

241142100 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 241142100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350487984).

241142100 is an abundant number, since it is smaller than the sum of its proper divisors (459833868).

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

241142100 is a wasteful number, since it uses less digits than its factorization.

241142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3785 (or 3778 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 241142100 is about 15528.7507546486. The cubic root of 241142100 is about 622.4307111473.

Adding to 241142100 its reverse (1241142), we get a palindrome (242383242).

The spelling of 241142100 in words is "two hundred forty-one million, one hundred forty-two thousand, one hundred".