42106 has 8 divisors (see below), whose sum is σ = 64980. Its totient is φ = 20448.

The previous prime is 42101. The next prime is 42131. The reversal of 42106 is 60124.

42106 = T₂₈ + T₂₉ + ... + T₆₄.

42106 = 14² + 15² + ... + 50².

42106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 42025 + 81 = 205^2 + 9^2 .

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

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (42101) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 211 + ... + 358.

2⁴²¹⁰⁶ is an apocalyptic number.

42106 is a deficient number, since it is larger than the sum of its proper divisors (22874).

42106 is a wasteful number, since it uses less digits than its factorization.

42106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608.

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42106 is about 205.1974658713. The cubic root of 42106 is about 34.7894846461.

The spelling of 42106 in words is "forty-two thousand, one hundred six".