164106000 has 200 divisors, whose sum is σ = 593348184. Its totient is φ = 43718400.

The previous prime is 164105987. The next prime is 164106013. The reversal of 164106000 is 601461.

164106000 is a `hidden beast` number, since 1 + 64 + 1 + 0 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (164105987) and next prime (164106013).

It can be written as a sum of positive squares in 4 ways, for example, as 49787136 + 114318864 = 7056^2 + 10692^2 .

It is a tau number, because it is divible by the number of its divisors (200).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161494 + ... + 162506.

Almost surely, 2^164106000 is an apocalyptic number.

164106000 is a gapful number since it is divisible by the number (10) 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 164106000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296674092).

164106000 is an abundant number, since it is smaller than the sum of its proper divisors (429242184).

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

164106000 is a wasteful number, since it uses less digits than its factorization.

164106000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1048 (or 1023 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 164106000 is about 12810.3864110338. The cubic root of 164106000 is about 547.4882714695.

Adding to 164106000 its reverse (601461), we get a palindrome (164707461).

The spelling of 164106000 in words is "one hundred sixty-four million, one hundred six thousand".