225100104000 has 448 divisors, whose sum is σ = 766867046400. Its totient is φ = 58152192000.

The previous prime is 225100103993. The next prime is 225100104017. The reversal of 225100104000 is 401001522.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100534881 + ... + 100537119.

It is an arithmetic number, because the mean of its divisors is an integer number (1711756800).

Almost surely, 2^225100104000 is an apocalyptic number.

225100104000 is a gapful number since it is divisible by the number (20) 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 225100104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383433523200).

225100104000 is an abundant number, since it is smaller than the sum of its proper divisors (541766942400).

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

225100104000 is a wasteful number, since it uses less digits than its factorization.

225100104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2399 (or 2379 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

Adding to 225100104000 its reverse (401001522), we get a palindrome (225501105522).

The spelling of 225100104000 in words is "two hundred twenty-five billion, one hundred million, one hundred four thousand".