42102032 has 40 divisors (see below), whose sum is σ = 93744000. Its totient is φ = 17943552.

The previous prime is 42102019. The next prime is 42102037. The reversal of 42102032 is 23020124.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 42101998 and 42102016.

It is not an unprimeable number, because it can be changed into a prime (42102037) 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, 21344 + ... + 23232.

It is an arithmetic number, because the mean of its divisors is an integer number (2343600).

Almost surely, 2^42102032 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 42102032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46872000).

42102032 is an abundant number, since it is smaller than the sum of its proper divisors (51641968).

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

42102032 is a wasteful number, since it uses less digits than its factorization.

42102032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2097 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 42102032 is about 6488.6078630165. The cubic root of 42102032 is about 347.8839177720.

Adding to 42102032 its reverse (23020124), we get a palindrome (65122156).

The spelling of 42102032 in words is "forty-two million, one hundred two thousand, thirty-two".