242154312100 has 72 divisors (see below), whose sum is σ = 556584141960. Its totient is φ = 91131371520.

The previous prime is 242154312041. The next prime is 242154312131. The reversal of 242154312100 is 1213451242.

It can be written as a sum of positive squares in 12 ways, for example, as 31047144804 + 211107167296 = 176202^2 + 459464^2 .

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 23 ways as a sum of consecutive naturals, for example, 5023312 + ... + 5071288.

It is an arithmetic number, because the mean of its divisors is an integer number (7730335305).

Almost surely, 2^242154312100 is an apocalyptic number.

242154312100 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 242154312100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278292070980).

242154312100 is an abundant number, since it is smaller than the sum of its proper divisors (314429829860).

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

242154312100 is a wasteful number, since it uses less digits than its factorization.

242154312100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50977 (or 50970 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 242154312100 its reverse (1213451242), we get a palindrome (243367763342).

The spelling of 242154312100 in words is "two hundred forty-two billion, one hundred fifty-four million, three hundred twelve thousand, one hundred".