42606056106 has 64 divisors (see below), whose sum is σ = 99012291840. Its totient is φ = 13554889920.

The previous prime is 42606056099. The next prime is 42606056107. The reversal of 42606056106 is 60165060624.

It is a happy number.

42606056106 is a `hidden beast` number, since 42 + 6 + 0 + 605 + 6 + 1 + 0 + 6 = 666.

42606056106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42606056107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 535356 + ... + 609768.

It is an arithmetic number, because the mean of its divisors is an integer number (1547067060).

Almost surely, 2^42606056106 is an apocalyptic number.

42606056106 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 42606056106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49506145920).

42606056106 is an abundant number, since it is smaller than the sum of its proper divisors (56406235734).

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

42606056106 is a wasteful number, since it uses less digits than its factorization.

42606056106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74908 (or 74902 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 42606056106 in words is "forty-two billion, six hundred six million, fifty-six thousand, one hundred six".