420107 has 8 divisors (see below), whose sum is σ = 437472. Its totient is φ = 403200.

The previous prime is 420103. The next prime is 420149. The reversal of 420107 is 701024.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 420107 - 2² = 420103 is a prime.

It is an Ulam number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 420091 and 420100.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 420107.

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 7 ways as a sum of consecutive naturals, for example, 4283 + ... + 4379.

It is an arithmetic number, because the mean of its divisors is an integer number (54684).

2⁴²⁰¹⁰⁷ is an apocalyptic number.

420107 is a deficient number, since it is larger than the sum of its proper divisors (17365).

420107 is an equidigital number, since it uses as much as digits as its factorization.

420107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229.

The product of its (nonzero) digits is 56, while the sum is 14.

The square root of 420107 is about 648.1566168759. The cubic root of 420107 is about 74.8950829302.

The spelling of 420107 in words is "four hundred twenty thousand, one hundred seven", and thus it is an iban number.