242003100 has 72 divisors (see below), whose sum is σ = 708704640. Its totient is φ = 63750080.

The previous prime is 242003089. The next prime is 242003123. The reversal of 242003100 is 1300242.

It is a super-2 number, since 2×242003100² = 117131000819220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20041 + ... + 29759.

It is an arithmetic number, because the mean of its divisors is an integer number (9843120).

Almost surely, 2^242003100 is an apocalyptic number.

242003100 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 242003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354352320).

242003100 is an abundant number, since it is smaller than the sum of its proper divisors (466701540).

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

242003100 is a wasteful number, since it uses less digits than its factorization.

242003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9819 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 242003100 is about 15556.4488235587. The cubic root of 242003100 is about 623.1706293357.

Adding to 242003100 its reverse (1300242), we get a palindrome (243303342).

The spelling of 242003100 in words is "two hundred forty-two million, three thousand, one hundred".