42105504 has 72 divisors (see below), whose sum is σ = 128586528. Its totient is φ = 12028800.

The previous prime is 42105493. The next prime is 42105523. The reversal of 42105504 is 40550124.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 229 + ... + 9179.

It is an arithmetic number, because the mean of its divisors is an integer number (1785924).

Almost surely, 2^42105504 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 42105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64293264).

42105504 is an abundant number, since it is smaller than the sum of its proper divisors (86481024).

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

42105504 is a wasteful number, since it uses less digits than its factorization.

42105504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8978 (or 8963 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 42105504 is about 6488.8754033345. The cubic root of 42105504 is about 347.8934804123.

Adding to 42105504 its reverse (40550124), we get a palindrome (82655628).

The spelling of 42105504 in words is "forty-two million, one hundred five thousand, five hundred four".