420330105 has 24 divisors (see below), whose sum is σ = 784617288. Its totient is φ = 206931456.

The previous prime is 420330091. The next prime is 420330107. The reversal of 420330105 is 501033024.

It can be written as a sum of positive squares in 4 ways, for example, as 121104 + 420209001 = 348^2 + 20499^2 .

It is not a de Polignac number, because 420330105 - 2⁶ = 420330041 is a prime.

It is a super-2 number, since 2×420330105² = 353354794338622050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420330107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 358672 + ... + 359841.

It is an arithmetic number, because the mean of its divisors is an integer number (32692387).

Almost surely, 2^420330105 is an apocalyptic number.

420330105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

420330105 is a deficient number, since it is larger than the sum of its proper divisors (364287183).

420330105 is a wasteful number, since it uses less digits than its factorization.

420330105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718537 (or 718534 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 420330105 is about 20501.9536873928. The cubic root of 420330105 is about 749.0833868836.

Adding to 420330105 its reverse (501033024), we get a palindrome (921363129).

The spelling of 420330105 in words is "four hundred twenty million, three hundred thirty thousand, one hundred five".