164205104 has 20 divisors (see below), whose sum is σ = 363597264. Its totient is φ = 70373568.

The previous prime is 164205079. The next prime is 164205131. The reversal of 164205104 is 401502461.

It is a super-3 number, since 3×164205104³ (a number of 26 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 164205104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 732947 + ... + 733170.

Almost surely, 2^164205104 is an apocalyptic number.

164205104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164205104 is an abundant number, since it is smaller than the sum of its proper divisors (199392160).

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

164205104 is a wasteful number, since it uses less digits than its factorization.

164205104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1466132 (or 1466126 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 164205104 is about 12814.2539384858. The cubic root of 164205104 is about 547.5984591106.

Adding to 164205104 its reverse (401502461), we get a palindrome (565707565).

The spelling of 164205104 in words is "one hundred sixty-four million, two hundred five thousand, one hundred four".