42105967193 has 16 divisors (see below), whose sum is σ = 42969326400. Its totient is φ = 41253935040.

The previous prime is 42105967159. The next prime is 42105967213. The reversal of 42105967193 is 39176950124.

42105967193 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 42105967193 - 2²⁴ = 42089189977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42105967103) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3525530 + ... + 3537452.

It is an arithmetic number, because the mean of its divisors is an integer number (2685582900).

Almost surely, 2^42105967193 is an apocalyptic number.

It is an amenable number.

42105967193 is a deficient number, since it is larger than the sum of its proper divisors (863359207).

42105967193 is a wasteful number, since it uses less digits than its factorization.

42105967193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12392.

The product of its (nonzero) digits is 408240, while the sum is 47.

The spelling of 42105967193 in words is "forty-two billion, one hundred five million, nine hundred sixty-seven thousand, one hundred ninety-three".