164711106 has 48 divisors (see below), whose sum is σ = 409968000. Its totient is φ = 46816704.

The previous prime is 164711101. The next prime is 164711117. The reversal of 164711106 is 601117461.

164711106 is a `hidden beast` number, since 1 + 647 + 1 + 1 + 10 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 164711106.

It is not an unprimeable number, because it can be changed into a prime (164711101) 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, 21790 + ... + 28358.

It is an arithmetic number, because the mean of its divisors is an integer number (8541000).

Almost surely, 2^164711106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164711106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204984000).

164711106 is an abundant number, since it is smaller than the sum of its proper divisors (245256894).

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

164711106 is a wasteful number, since it uses less digits than its factorization.

164711106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6783 (or 6780 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 164711106 is about 12833.9824684312. The cubic root of 164711106 is about 548.1603616324.

Adding to 164711106 its reverse (601117461), we get a palindrome (765828567).

The spelling of 164711106 in words is "one hundred sixty-four million, seven hundred eleven thousand, one hundred six".