100322131104 has 144 divisors (see below), whose sum is σ = 307448773632. Its totient is φ = 30847025664.

The previous prime is 100322131061. The next prime is 100322131121. The reversal of 100322131104 is 401131223001.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5918289 + ... + 5935215.

It is an arithmetic number, because the mean of its divisors is an integer number (2135060928).

Almost surely, 2^100322131104 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 100322131104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153724386816).

100322131104 is an abundant number, since it is smaller than the sum of its proper divisors (207126642528).

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

100322131104 is a wasteful number, since it uses less digits than its factorization.

100322131104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18539 (or 18528 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 100322131104 its reverse (401131223001), we get a palindrome (501453354105).

The spelling of 100322131104 in words is "one hundred billion, three hundred twenty-two million, one hundred thirty-one thousand, one hundred four".