164167105 has 4 divisors (see below), whose sum is σ = 197000532. Its totient is φ = 131333680.

The previous prime is 164167067. The next prime is 164167109. The reversal of 164167105 is 501761461.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 29235649 + 134931456 = 5407^2 + 11616^2 .

It is not a de Polignac number, because 164167105 - 2²⁵ = 130612673 is a prime.

It is a super-3 number, since 3×164167105³ (a number of 26 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (31) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (164167109) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16416706 + ... + 16416715.

It is an arithmetic number, because the mean of its divisors is an integer number (49250133).

Almost surely, 2^164167105 is an apocalyptic number.

It is an amenable number.

164167105 is a deficient number, since it is larger than the sum of its proper divisors (32833427).

164167105 is an equidigital number, since it uses as much as digits as its factorization.

164167105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32833426.

The product of its (nonzero) digits is 5040, while the sum is 31.

The square root of 164167105 is about 12812.7711678622. The cubic root of 164167105 is about 547.5562156021.

The spelling of 164167105 in words is "one hundred sixty-four million, one hundred sixty-seven thousand, one hundred five".