42000107 has 2 divisors, whose sum is σ = 42000108. Its totient is φ = 42000106.

The previous prime is 42000073. The next prime is 42000109. The reversal of 42000107 is 70100024.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 42000107 - 2¹⁴ = 41983723 is a prime.

It is a super-2 number, since 2×42000107² = 3528017976022898, which contains 22 as substring.

Together with 42000109, 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 = 42000091 and 42000100.

It is not a weakly prime, because it can be changed into another prime (42000109) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21000053 + 21000054.

It is an arithmetic number, because the mean of its divisors is an integer number (21000054).

Almost surely, 2^42000107 is an apocalyptic number.

42000107 is a deficient number, since it is larger than the sum of its proper divisors (1).

42000107 is an equidigital number, since it uses as much as digits as its factorization.

42000107 is an evil number, because the sum of its binary digits is even.

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

The square root of 42000107 is about 6480.7489536318. The cubic root of 42000107 is about 347.6029596748.

The spelling of 42000107 in words is "forty-two million, one hundred seven", and thus it is an aban number.