42106064 has 120 divisors (see below), whose sum is σ = 110826240. Its totient is φ = 15079680.

The previous prime is 42106063. The next prime is 42106067. The reversal of 42106064 is 46060124.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42106061) 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 23 ways as a sum of consecutive naturals, for example, 176057 + ... + 176295.

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

Almost surely, 2^42106064 is an apocalyptic number.

42106064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42106064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55413120).

42106064 is an abundant number, since it is smaller than the sum of its proper divisors (68720176).

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

42106064 is a wasteful number, since it uses less digits than its factorization.

42106064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 42106064 is about 6488.9185539657. The cubic root of 42106064 is about 347.8950227244.

Adding to 42106064 its reverse (46060124), we get a palindrome (88166188).

It can be divided in two parts, 421060 and 64, that added together give a palindrome (421124).

The spelling of 42106064 in words is "forty-two million, one hundred six thousand, sixty-four".