420210103300 has 72 divisors (see below), whose sum is σ = 982339766856. Its totient is φ = 155100610560.

The previous prime is 420210103283. The next prime is 420210103333. The reversal of 420210103300 is 3301012024.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 361412582976 + 58797520324 = 601176^2 + 242482^2 .

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 23 ways as a sum of consecutive naturals, for example, 3789444 + ... + 3898756.

It is an arithmetic number, because the mean of its divisors is an integer number (13643607873).

Almost surely, 2^420210103300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420210103300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (491169883428).

420210103300 is an abundant number, since it is smaller than the sum of its proper divisors (562129663556).

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

420210103300 is a wasteful number, since it uses less digits than its factorization.

420210103300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112297 (or 112290 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 420210103300 its reverse (3301012024), we get a palindrome (423511115324).

The spelling of 420210103300 in words is "four hundred twenty billion, two hundred ten million, one hundred three thousand, three hundred".