420210100 has 36 divisors (see below), whose sum is σ = 912833068. Its totient is φ = 167904000.

The previous prime is 420210067. The next prime is 420210101. The reversal of 420210100 is 1012024.

It can be written as a sum of positive squares in 6 ways, for example, as 8363664 + 411846436 = 2892^2 + 20294^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (420210101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 130510 + ... + 133690.

Almost surely, 2^420210100 is an apocalyptic number.

It is an amenable number.

420210100 is an abundant number, since it is smaller than the sum of its proper divisors (492622968).

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

420210100 is a wasteful number, since it uses less digits than its factorization.

420210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4516 (or 4509 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 420210100 is about 20499.0268061681. The cubic root of 420210100 is about 749.0120918807.

Adding to 420210100 its reverse (1012024), we get a palindrome (421222124).

The spelling of 420210100 in words is "four hundred twenty million, two hundred ten thousand, one hundred".