164106145 has 24 divisors (see below), whose sum is σ = 229910184. Its totient is φ = 112121856.

The previous prime is 164106139. The next prime is 164106161. The reversal of 164106145 is 541601461.

It can be written as a sum of positive squares in 4 ways, for example, as 17114769 + 146991376 = 4137^2 + 12124^2 .

It is not a de Polignac number, because 164106145 - 2⁹ = 164105633 is a prime.

It is a super-2 number, since 2×164106145² = 53861653653522050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 76609 + ... + 78721.

It is an arithmetic number, because the mean of its divisors is an integer number (9579591).

Almost surely, 2^164106145 is an apocalyptic number.

It is an amenable number.

164106145 is a deficient number, since it is larger than the sum of its proper divisors (65804039).

164106145 is a wasteful number, since it uses less digits than its factorization.

164106145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2449 (or 2442 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 164106145 is about 12810.3920705028. The cubic root of 164106145 is about 547.4884327185.

The spelling of 164106145 in words is "one hundred sixty-four million, one hundred six thousand, one hundred forty-five".