42102084 has 48 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 13472256.

The previous prime is 42102059. The next prime is 42102089. The reversal of 42102084 is 48020124.

It is a self number, because there is not a number n which added to its sum of digits gives 42102084.

It is not an unprimeable number, because it can be changed into a prime (42102089) 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, 117097 + ... + 117455.

It is an arithmetic number, because the mean of its divisors is an integer number (2129400).

Almost surely, 2^42102084 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 42102084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).

42102084 is an abundant number, since it is smaller than the sum of its proper divisors (60109116).

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

42102084 is a wasteful number, since it uses less digits than its factorization.

42102084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 730 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 42102084 is about 6488.6118700382. The cubic root of 42102084 is about 347.8840609951.

The spelling of 42102084 in words is "forty-two million, one hundred two thousand, eighty-four".