242124100 has 36 divisors (see below), whose sum is σ = 529219600. Its totient is φ = 96147360.

The previous prime is 242124079. The next prime is 242124101. The reversal of 242124100 is 1421242.

It is not an unprimeable number, because it can be changed into a prime (242124101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5191 + ... + 22609.

Almost surely, 2^242124100 is an apocalyptic number.

242124100 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 242124100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264609800).

242124100 is an abundant number, since it is smaller than the sum of its proper divisors (287095500).

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

242124100 is a wasteful number, since it uses less digits than its factorization.

242124100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17572 (or 17565 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 242124100 is about 15560.3373999409. The cubic root of 242124100 is about 623.2744724717.

Adding to 242124100 its reverse (1421242), we get a palindrome (243545342).

The spelling of 242124100 in words is "two hundred forty-two million, one hundred twenty-four thousand, one hundred".