421010105 has 16 divisors (see below), whose sum is σ = 514373328. Its totient is φ = 330720000.

The previous prime is 421010071. The next prime is 421010123. The reversal of 421010105 is 501010124.

It can be written as a sum of positive squares in 8 ways, for example, as 160478224 + 260531881 = 12668^2 + 16141^2 .

It is not a de Polignac number, because 421010105 - 2⁶ = 421010041 is a prime.

It is a super-2 number, since 2×421010105² = 354499017024222050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 421010105.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 322955 + ... + 324255.

It is an arithmetic number, because the mean of its divisors is an integer number (32148333).

Almost surely, 2^421010105 is an apocalyptic number.

It is an amenable number.

421010105 is a deficient number, since it is larger than the sum of its proper divisors (93363223).

421010105 is a wasteful number, since it uses less digits than its factorization.

421010105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428.

The product of its (nonzero) digits is 40, while the sum is 14.

The square root of 421010105 is about 20518.5307709885. The cubic root of 421010105 is about 749.4871189803.

Adding to 421010105 its reverse (501010124), we get a palindrome (922020229).

The spelling of 421010105 in words is "four hundred twenty-one million, ten thousand, one hundred five".