42105600 has 324 divisors, whose sum is σ = 163098936. Its totient is φ = 10321920.

The previous prime is 42105599. The next prime is 42105607. The reversal of 42105600 is 650124.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42105607) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 979179 + ... + 979221.

Almost surely, 2^42105600 is an apocalyptic number.

42105600 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 42105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81549468).

42105600 is an abundant number, since it is smaller than the sum of its proper divisors (120993336).

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

42105600 is a wasteful number, since it uses less digits than its factorization.

42105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 42105600 is about 6488.8828006060. The cubic root of 42105600 is about 347.8937448096.

Adding to 42105600 its reverse (650124), we get a palindrome (42755724).

The spelling of 42105600 in words is "forty-two million, one hundred five thousand, six hundred".