420000107 has 2 divisors, whose sum is σ = 420000108. Its totient is φ = 420000106.

The previous prime is 420000101. The next prime is 420000109. The reversal of 420000107 is 701000024.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 420000107 - 2²⁰ = 418951531 is a prime.

It is a super-2 number, since 2×420000107² = 352800179760022898, which contains 22 as substring.

Together with 420000109, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 420000091 and 420000100.

It is not a weakly prime, because it can be changed into another prime (420000101) by changing a digit.

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 as a sum of consecutive naturals, namely, 210000053 + 210000054.

It is an arithmetic number, because the mean of its divisors is an integer number (210000054).

Almost surely, 2^420000107 is an apocalyptic number.

420000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

420000107 is an equidigital number, since it uses as much as digits as its factorization.

420000107 is an odious number, because the sum of its binary digits is odd.

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

The square root of 420000107 is about 20493.9041424517. The cubic root of 420000107 is about 748.8873023178.

The spelling of 420000107 in words is "four hundred twenty million, one hundred seven", and thus it is an aban number.