42106176 has 168 divisors, whose sum is σ = 143906240. Its totient is φ = 11826432.

The previous prime is 42106171. The next prime is 42106177. The reversal of 42106176 is 67160124.

42106176 is a `hidden beast` number, since 42 + 1 + 0 + 617 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42106171) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 713635 + ... + 713693.

Almost surely, 2^42106176 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 42106176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71953120).

42106176 is an abundant number, since it is smaller than the sum of its proper divisors (101800064).

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

42106176 is an equidigital number, since it uses as much as digits as its factorization.

42106176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 42106176 is about 6488.9271840575. The cubic root of 42106176 is about 347.8953311852.

The spelling of 42106176 in words is "forty-two million, one hundred six thousand, one hundred seventy-six".