42006026100 has 144 divisors (see below), whose sum is σ = 126971873280. Its totient is φ = 10709462400.

The previous prime is 42006026099. The next prime is 42006026113. The reversal of 42006026100 is 162060024.

It is a happy number.

42006026100 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 744691 + ... + 799109.

It is an arithmetic number, because the mean of its divisors is an integer number (881749120).

Almost surely, 2^42006026100 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 42006026100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63485936640).

42006026100 is an abundant number, since it is smaller than the sum of its proper divisors (84965847180).

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

42006026100 is a wasteful number, since it uses less digits than its factorization.

42006026100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54550 (or 54543 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 42006026100 its reverse (162060024), we get a palindrome (42168086124).

The spelling of 42006026100 in words is "forty-two billion, six million, twenty-six thousand, one hundred".