42107129 has 2 divisors, whose sum is σ = 42107130. Its totient is φ = 42107128.

The previous prime is 42107111. The next prime is 42107239. The reversal of 42107129 is 92170124.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 23814400 + 18292729 = 4880^2 + 4277^2 .

It is a cyclic number.

It is not a de Polignac number, because 42107129 - 2⁸ = 42106873 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42107098 and 42107107.

It is not a weakly prime, because it can be changed into another prime (42107029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21053564 + 21053565.

It is an arithmetic number, because the mean of its divisors is an integer number (21053565).

Almost surely, 2^42107129 is an apocalyptic number.

It is an amenable number.

42107129 is a deficient number, since it is larger than the sum of its proper divisors (1).

42107129 is an equidigital number, since it uses as much as digits as its factorization.

42107129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 42107129 is about 6489.0006164278. Note that the first 3 decimals coincide. The cubic root of 42107129 is about 347.8979558338.

The spelling of 42107129 in words is "forty-two million, one hundred seven thousand, one hundred twenty-nine".