42104000 has 112 divisors (see below), whose sum is σ = 110154720. Its totient is φ = 15897600.

The previous prime is 42103987. The next prime is 42104003. The reversal of 42104000 is 40124.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42104003) 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, 151862 + ... + 152138.

Almost surely, 2^42104000 is an apocalyptic number.

42104000 is a gapful number since it is divisible by the number (40) 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 42104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55077360).

42104000 is an abundant number, since it is smaller than the sum of its proper divisors (68050720).

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

42104000 is a wasteful number, since it uses less digits than its factorization.

42104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 323 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 42104000 is about 6488.7595116478. The cubic root of 42104000 is about 347.8893381349.

Adding to 42104000 its reverse (40124), we get a palindrome (42144124).

The spelling of 42104000 in words is "forty-two million, one hundred four thousand".