42524240100 has 144 divisors (see below), whose sum is σ = 130771630080. Its totient is φ = 10638518400.

The previous prime is 42524240063. The next prime is 42524240107. The reversal of 42524240100 is 104242524.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42524240107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 550885 + ... + 623315.

It is an arithmetic number, because the mean of its divisors is an integer number (908136320).

Almost surely, 2^42524240100 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 42524240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65385815040).

42524240100 is an abundant number, since it is smaller than the sum of its proper divisors (88247389980).

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

42524240100 is a wasteful number, since it uses less digits than its factorization.

42524240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72570 (or 72563 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 42524240100 its reverse (104242524), we get a palindrome (42628482624).

The spelling of 42524240100 in words is "forty-two billion, five hundred twenty-four million, two hundred forty thousand, one hundred".