100324314432104 has 256 divisors, whose sum is σ = 235840182681600. Its totient is φ = 39031837286400.

The previous prime is 100324314432091. The next prime is 100324314432137. The reversal of 100324314432104 is 401234413423001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215141977 + ... + 1215224535.

It is an arithmetic number, because the mean of its divisors is an integer number (921250713600).

Almost surely, 2^{100324314432104} is an apocalyptic number.

100324314432104 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 100324314432104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117920091340800).

100324314432104 is an abundant number, since it is smaller than the sum of its proper divisors (135515868249496).

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

100324314432104 is a wasteful number, since it uses less digits than its factorization.

100324314432104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82984 (or 82980 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 32.

Adding to 100324314432104 its reverse (401234413423001), we get a palindrome (501558727855105).

The spelling of 100324314432104 in words is "one hundred trillion, three hundred twenty-four billion, three hundred fourteen million, four hundred thirty-two thousand, one hundred four".