42105532 has 48 divisors (see below), whose sum is σ = 90901440. Its totient is φ = 16653312.

The previous prime is 42105523. The next prime is 42105563. The reversal of 42105532 is 23550124.

42105532 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24394 + ... + 26062.

It is an arithmetic number, because the mean of its divisors is an integer number (1893780).

Almost surely, 2^42105532 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 42105532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45450720).

42105532 is an abundant number, since it is smaller than the sum of its proper divisors (48795908).

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

42105532 is a wasteful number, since it uses less digits than its factorization.

42105532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1750 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 42105532 is about 6488.8775608729. The cubic root of 42105532 is about 347.8935575282.

Adding to 42105532 its reverse (23550124), we get a palindrome (65655656).

It can be divided in two parts, 42 and 105532, that multiplied together give a palindrome (4432344).

The spelling of 42105532 in words is "forty-two million, one hundred five thousand, five hundred thirty-two".