100321435104 has 192 divisors, whose sum is σ = 291089272320. Its totient is φ = 29999185920.

The previous prime is 100321435073. The next prime is 100321435117. The reversal of 100321435104 is 401534123001.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77348184 + ... + 77349480.

It is an arithmetic number, because the mean of its divisors is an integer number (1516089960).

Almost surely, 2^100321435104 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 100321435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145544636160).

100321435104 is an abundant number, since it is smaller than the sum of its proper divisors (190767837216).

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

100321435104 is a wasteful number, since it uses less digits than its factorization.

100321435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2225 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 100321435104 its reverse (401534123001), we get a palindrome (501855558105).

The spelling of 100321435104 in words is "one hundred billion, three hundred twenty-one million, four hundred thirty-five thousand, one hundred four".