100054224144 has 120 divisors (see below), whose sum is σ = 320159062080. Its totient is φ = 28574025984.

The previous prime is 100054224121. The next prime is 100054224161. The reversal of 100054224144 is 441422450001.

100054224144 is a `hidden beast` number, since 100 + 0 + 542 + 2 + 4 + 14 + 4 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2336494 + ... + 2378930.

It is an arithmetic number, because the mean of its divisors is an integer number (2667992184).

Almost surely, 2^100054224144 is an apocalyptic number.

100054224144 is a gapful number since it is divisible by the number (14) 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 100054224144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160079531040).

100054224144 is an abundant number, since it is smaller than the sum of its proper divisors (220104837936).

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

100054224144 is a wasteful number, since it uses less digits than its factorization.

100054224144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44797 (or 44788 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

Adding to 100054224144 its reverse (441422450001), we get a palindrome (541476674145).

The spelling of 100054224144 in words is "one hundred billion, fifty-four million, two hundred twenty-four thousand, one hundred forty-four".