420105 has 16 divisors (see below), whose sum is σ = 768384. Its totient is φ = 192000.

The previous prime is 420103. The next prime is 420149. The reversal of 420105 is 501024.

It is not a de Polignac number, because 420105 - 2¹ = 420103 is a prime.

It is a super-2 number, since 2×420105² = 352976422050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (420103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1896 + ... + 2105.

It is an arithmetic number, because the mean of its divisors is an integer number (48024).

2⁴²⁰¹⁰⁵ is an apocalyptic number.

It is an amenable number.

420105 is a deficient number, since it is larger than the sum of its proper divisors (348279).

420105 is a wasteful number, since it uses less digits than its factorization.

420105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016.

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 420105 is about 648.1550740371. The cubic root of 420105 is about 74.8949640792.

Adding to 420105 its reverse (501024), we get a palindrome (921129).

It can be divided in two parts, 420 and 105, that multiplied together give a square (44100 = 210²).

The spelling of 420105 in words is "four hundred twenty thousand, one hundred five".