100244442144 has 288 divisors, whose sum is σ = 332075455488. Its totient is φ = 25918041600.

The previous prime is 100244442127. The next prime is 100244442191. The reversal of 100244442144 is 441244442001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18455109 + ... + 18460539.

It is an arithmetic number, because the mean of its divisors is an integer number (1153039776).

Almost surely, 2^100244442144 is an apocalyptic number.

100244442144 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 100244442144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166037727744).

100244442144 is an abundant number, since it is smaller than the sum of its proper divisors (231831013344).

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

100244442144 is a wasteful number, since it uses less digits than its factorization.

100244442144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5700 (or 5681 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 30.

Adding to 100244442144 its reverse (441244442001), we get a palindrome (541488884145).

The spelling of 100244442144 in words is "one hundred billion, two hundred forty-four million, four hundred forty-two thousand, one hundred forty-four".