100004242144 has 72 divisors (see below), whose sum is σ = 206299835280. Its totient is φ = 47715621888.

The previous prime is 100004242103. The next prime is 100004242153. The reversal of 100004242144 is 441242400001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7424664 + ... + 7438120.

It is an arithmetic number, because the mean of its divisors is an integer number (2865275490).

Almost surely, 2^100004242144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100004242144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103149917640).

100004242144 is an abundant number, since it is smaller than the sum of its proper divisors (106295593136).

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

100004242144 is a wasteful number, since it uses less digits than its factorization.

100004242144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13952 (or 13921 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 100004242144 its reverse (441242400001), we get a palindrome (541246642145).

The spelling of 100004242144 in words is "one hundred billion, four million, two hundred forty-two thousand, one hundred forty-four".