164929905 has 128 divisors (see below), whose sum is σ = 354585600. Its totient is φ = 71165952.

The previous prime is 164929879. The next prime is 164929927. The reversal of 164929905 is 509929461.

It is not a de Polignac number, because 164929905 - 2⁷ = 164929777 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 1853101 + ... + 1853189.

It is an arithmetic number, because the mean of its divisors is an integer number (2770200).

Almost surely, 2^164929905 is an apocalyptic number.

164929905 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

164929905 is an abundant number, since it is smaller than the sum of its proper divisors (189655695).

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

164929905 is a wasteful number, since it uses less digits than its factorization.

164929905 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 164929905 is about 12842.5038446558. The cubic root of 164929905 is about 548.4029760575.

The spelling of 164929905 in words is "one hundred sixty-four million, nine hundred twenty-nine thousand, nine hundred five".