100325122400 has 144 divisors (see below), whose sum is σ = 258015517200. Its totient is φ = 37987522560.

The previous prime is 100325122397. The next prime is 100325122421. The reversal of 100325122400 is 4221523001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30839174 + ... + 30842426.

It is an arithmetic number, because the mean of its divisors is an integer number (1791774425).

Almost surely, 2^100325122400 is an apocalyptic number.

100325122400 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 100325122400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129007758600).

100325122400 is an abundant number, since it is smaller than the sum of its proper divisors (157690394800).

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

100325122400 is a wasteful number, since it uses less digits than its factorization.

100325122400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5321 (or 5308 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 100325122400 its reverse (4221523001), we get a palindrome (104546645401).

The spelling of 100325122400 in words is "one hundred billion, three hundred twenty-five million, one hundred twenty-two thousand, four hundred".