164340105 has 32 divisors (see below), whose sum is σ = 281159424. Its totient is φ = 81678336.

The previous prime is 164340103. The next prime is 164340107. The reversal of 164340105 is 501043461.

It is an interprime number because it is at equal distance from previous prime (164340103) and next prime (164340107).

It is not a de Polignac number, because 164340105 - 2¹ = 164340103 is a prime.

It is a super-2 number, since 2×164340105² = 54015340222822050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (164340103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23137 + ... + 29393.

It is an arithmetic number, because the mean of its divisors is an integer number (8786232).

Almost surely, 2^164340105 is an apocalyptic number.

164340105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164340105 is a deficient number, since it is larger than the sum of its proper divisors (116819319).

164340105 is a wasteful number, since it uses less digits than its factorization.

164340105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6385.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 164340105 is about 12819.5204668505. The cubic root of 164340105 is about 547.7484871092.

Adding to 164340105 its reverse (501043461), we get a palindrome (665383566).

The spelling of 164340105 in words is "one hundred sixty-four million, three hundred forty thousand, one hundred five".