42107016 has 64 divisors (see below), whose sum is σ = 122601600. Its totient is φ = 11801088.

The previous prime is 42106993. The next prime is 42107017. The reversal of 42107016 is 61070124.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 42106983 and 42107001.

It is not an unprimeable number, because it can be changed into a prime (42107017) 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, 6540 + ... + 11268.

It is an arithmetic number, because the mean of its divisors is an integer number (1915650).

Almost surely, 2^42107016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42107016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61300800).

42107016 is an abundant number, since it is smaller than the sum of its proper divisors (80494584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42107016 is a wasteful number, since it uses less digits than its factorization.

42107016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4798 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 42107016 is about 6488.9919093801. The cubic root of 42107016 is about 347.8976446236.

The spelling of 42107016 in words is "forty-two million, one hundred seven thousand, sixteen".