164075106 has 64 divisors (see below), whose sum is σ = 363968640. Its totient is φ = 48998400.

The previous prime is 164075101. The next prime is 164075117. The reversal of 164075106 is 601570461.

164075106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×164075106² = 53841280817822472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164075101) 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, 464626 + ... + 464978.

It is an arithmetic number, because the mean of its divisors is an integer number (5687010).

Almost surely, 2^164075106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164075106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181984320).

164075106 is an abundant number, since it is smaller than the sum of its proper divisors (199893534).

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

164075106 is a wasteful number, since it uses less digits than its factorization.

164075106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 164075106 is about 12809.1805358501. The cubic root of 164075106 is about 547.4539132617.

The spelling of 164075106 in words is "one hundred sixty-four million, seventy-five thousand, one hundred six".