42106000 has 80 divisors (see below), whose sum is σ = 104747760. Its totient is φ = 16358400.

The previous prime is 42105977. The next prime is 42106013. The reversal of 42106000 is 60124.

It can be written as a sum of positive squares in 8 ways, for example, as 11943936 + 30162064 = 3456^2 + 5492^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73716 + ... + 74284.

It is an arithmetic number, because the mean of its divisors is an integer number (1309347).

Almost surely, 2^42106000 is an apocalyptic number.

42106000 is a gapful number since it is divisible by the number (40) 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 42106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52373880).

42106000 is an abundant number, since it is smaller than the sum of its proper divisors (62641760).

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

42106000 is a wasteful number, since it uses less digits than its factorization.

42106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 42106000 is about 6488.9136224795. The cubic root of 42106000 is about 347.8948464608.

Adding to 42106000 its reverse (60124), we get a palindrome (42166124).

The spelling of 42106000 in words is "forty-two million, one hundred six thousand".