42635100 has 144 divisors (see below), whose sum is σ = 132991488. Its totient is φ = 10517760.

The previous prime is 42635083. The next prime is 42635101. The reversal of 42635100 is 153624.

It is a happy number.

42635100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42635101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 255217 + ... + 255383.

It is an arithmetic number, because the mean of its divisors is an integer number (923552).

Almost surely, 2^42635100 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 42635100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66495744).

42635100 is an abundant number, since it is smaller than the sum of its proper divisors (90356388).

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

42635100 is a wasteful number, since it uses less digits than its factorization.

42635100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 42635100 is about 6529.5558807625. Note that the first 3 decimals coincide. The cubic root of 42635100 is about 349.3459895608.

Adding to 42635100 its reverse (153624), we get a palindrome (42788724).

The spelling of 42635100 in words is "forty-two million, six hundred thirty-five thousand, one hundred".