42107121 has 45 divisors (see below), whose sum is σ = 73887561. Its totient is φ = 23827608.

The previous prime is 42107111. The next prime is 42107129. The reversal of 42107121 is 12170124.

42107121 = T₄₆₃ + T₄₆₄ + ... + T₇₀₅.

The square root of 42107121 is 6489.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 42107121 - 2⁷ = 42106993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 42107094 and 42107103.

It is not an unprimeable number, because it can be changed into a prime (42107129) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 408756 + ... + 408858.

Almost surely, 2^42107121 is an apocalyptic number.

42107121 is the 6489-th square number.

42107121 is the 3245-th centered octagonal number.

It is an amenable number.

42107121 is a deficient number, since it is larger than the sum of its proper divisors (31780440).

42107121 is an equidigital number, since it uses as much as digits as its factorization.

42107121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 18.

The cubic root of 42107121 is about 347.8979338012.

Adding to 42107121 its reverse (12170124), we get a palindrome (54277245).

The spelling of 42107121 in words is "forty-two million, one hundred seven thousand, one hundred twenty-one".