100412324320 has 576 divisors, whose sum is σ = 308111247360. Its totient is φ = 30258708480.

The previous prime is 100412324317. The next prime is 100412324387. The reversal of 100412324320 is 23423214001.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100412324291 and 100412324300.

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 888604584 + ... + 888604696.

It is an arithmetic number, because the mean of its divisors is an integer number (534915360).

Almost surely, 2^100412324320 is an apocalyptic number.

100412324320 is a gapful number since it is divisible by the number (10) 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 100412324320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154055623680).

100412324320 is an abundant number, since it is smaller than the sum of its proper divisors (207698923040).

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

100412324320 is a wasteful number, since it uses less digits than its factorization.

100412324320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 100412324320 its reverse (23423214001), we get a palindrome (123835538321).

The spelling of 100412324320 in words is "one hundred billion, four hundred twelve million, three hundred twenty-four thousand, three hundred twenty".