420000100 has 36 divisors (see below), whose sum is σ = 981510964. Its totient is φ = 155076480.

The previous prime is 420000029. The next prime is 420000101. The reversal of 420000100 is 1000024.

It can be written as a sum of positive squares in 6 ways, for example, as 101163364 + 318836736 = 10058^2 + 17856^2 .

It is not an unprimeable number, because it can be changed into a prime (420000101) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 160239 + ... + 162838.

Almost surely, 2^420000100 is an apocalyptic number.

It is an amenable number.

420000100 is an abundant number, since it is smaller than the sum of its proper divisors (561510864).

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

420000100 is a wasteful number, since it uses less digits than its factorization.

420000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323104 (or 323097 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

The square root of 420000100 is about 20493.9039716692. The cubic root of 420000100 is about 748.8872981573.

Adding to 420000100 its reverse (1000024), we get a palindrome (421000124).

The spelling of 420000100 in words is "four hundred twenty million, one hundred", and thus it is an aban number.