42318100 has 144 divisors (see below), whose sum is σ = 110992896. Its totient is φ = 13824000.

The previous prime is 42318077. The next prime is 42318103. The reversal of 42318100 is 181324.

It is a super-2 number, since 2×42318100² = 3581643175220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42318103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 579664 + ... + 579736.

It is an arithmetic number, because the mean of its divisors is an integer number (770784).

Almost surely, 2^42318100 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 42318100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55496448).

42318100 is an abundant number, since it is smaller than the sum of its proper divisors (68674796).

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

42318100 is a wasteful number, since it uses less digits than its factorization.

42318100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 42318100 is about 6505.2363523549. The cubic root of 42318100 is about 348.4780170664.

Adding to 42318100 its reverse (181324), we get a palindrome (42499424).

The spelling of 42318100 in words is "forty-two million, three hundred eighteen thousand, one hundred".