42105013 has 8 divisors (see below), whose sum is σ = 44155800. Its totient is φ = 40094208.

The previous prime is 42104983. The next prime is 42105031. The reversal of 42105013 is 31050124.

It can be written as a sum of positive squares in 4 ways, for example, as 17918289 + 24186724 = 4233^2 + 4918^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 42105013 - 2¹⁷ = 41973941 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105053) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7828 + ... + 12061.

It is an arithmetic number, because the mean of its divisors is an integer number (5519475).

Almost surely, 2^42105013 is an apocalyptic number.

It is an amenable number.

42105013 is a deficient number, since it is larger than the sum of its proper divisors (2050787).

42105013 is a wasteful number, since it uses less digits than its factorization.

42105013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19991.

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 42105013 is about 6488.8375692415. The cubic root of 42105013 is about 347.8921281238.

Adding to 42105013 its reverse (31050124), we get a palindrome (73155137).

The spelling of 42105013 in words is "forty-two million, one hundred five thousand, thirteen".