100320001344 has 84 divisors (see below), whose sum is σ = 288217051200. Its totient is φ = 33362330880.

The previous prime is 100320001343. The next prime is 100320001391. The reversal of 100320001344 is 443100023001.

100320001344 is a `hidden beast` number, since 1 + 0 + 0 + 320 + 0 + 0 + 1 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100320001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46207 + ... + 450305.

Almost surely, 2^100320001344 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 100320001344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144108525600).

100320001344 is an abundant number, since it is smaller than the sum of its proper divisors (187897049856).

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

100320001344 is a wasteful number, since it uses less digits than its factorization.

100320001344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 404548 (or 404535 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 100320001344 its reverse (443100023001), we get a palindrome (543420024345).

The spelling of 100320001344 in words is "one hundred billion, three hundred twenty million, one thousand, three hundred forty-four".