42104524 has 72 divisors (see below), whose sum is σ = 95376960. Its totient is φ = 16077600.

The previous prime is 42104521. The next prime is 42104533. The reversal of 42104524 is 42540124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 42104495 and 42104504.

It is not an unprimeable number, because it can be changed into a prime (42104521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127039 + ... + 127369.

It is an arithmetic number, because the mean of its divisors is an integer number (1324680).

Almost surely, 2^42104524 is an apocalyptic number.

42104524 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42104524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47688480).

42104524 is an abundant number, since it is smaller than the sum of its proper divisors (53272436).

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

42104524 is a wasteful number, since it uses less digits than its factorization.

42104524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 42104524 is about 6488.7998890396. The cubic root of 42104524 is about 347.8907813332.

Adding to 42104524 its reverse (42540124), we get a palindrome (84644648).

Subtracting 42104524 from its reverse (42540124), we obtain a square (435600 = 660²).

The spelling of 42104524 in words is "forty-two million, one hundred four thousand, five hundred twenty-four".