425743200100 has 81 divisors (see below), whose sum is σ = 938078924601. Its totient is φ = 167716029600.

The previous prime is 425743200059. The next prime is 425743200121. The reversal of 425743200100 is 1002347524.

The square root of 425743200100 is 652490.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 153267552036 + 272475648064 = 391494^2 + 521992^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 463267441 + ... + 463268359.

Almost surely, 2^425743200100 is an apocalyptic number.

425743200100 is the 652490-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425743200100

425743200100 is an abundant number, since it is smaller than the sum of its proper divisors (512335724501).

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

425743200100 is an frugal number, since it uses more digits than its factorization.

425743200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

Adding to 425743200100 its reverse (1002347524), we get a palindrome (426745547624).

The spelling of 425743200100 in words is "four hundred twenty-five billion, seven hundred forty-three million, two hundred thousand, one hundred".