100443223104 has 168 divisors, whose sum is σ = 309487750848. Its totient is φ = 28666229760.

The previous prime is 100443223081. The next prime is 100443223121. The reversal of 100443223104 is 401322344001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 9242634 + ... + 9253494.

Almost surely, 2^100443223104 is an apocalyptic number.

100443223104 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 100443223104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154743875424).

100443223104 is an abundant number, since it is smaller than the sum of its proper divisors (209044527744).

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

100443223104 is a wasteful number, since it uses less digits than its factorization.

100443223104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11873 (or 11856 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 100443223104 its reverse (401322344001), we get a palindrome (501765567105).

The spelling of 100443223104 in words is "one hundred billion, four hundred forty-three million, two hundred twenty-three thousand, one hundred four".