164205105 has 32 divisors (see below), whose sum is σ = 275564160. Its totient is φ = 83381760.

The previous prime is 164205079. The next prime is 164205131. The reversal of 164205105 is 501502461.

It is an interprime number because it is at equal distance from previous prime (164205079) and next prime (164205131).

It is not a de Polignac number, because 164205105 - 2¹³ = 164196913 is a prime.

It is a super-2 number, since 2×164205105² = 53926633016122050, which contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29170 + ... + 34340.

It is an arithmetic number, because the mean of its divisors is an integer number (8611380).

Almost surely, 2^164205105 is an apocalyptic number.

164205105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164205105 is a deficient number, since it is larger than the sum of its proper divisors (111359055).

164205105 is a wasteful number, since it uses less digits than its factorization.

164205105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5281.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 164205105 is about 12814.2539775049. The cubic root of 164205105 is about 547.5984602222.

Adding to 164205105 its reverse (501502461), we get a palindrome (665707566).

The spelling of 164205105 in words is "one hundred sixty-four million, two hundred five thousand, one hundred five".