164109807 has 24 divisors (see below), whose sum is σ = 256523904. Its totient is φ = 104646168.

The previous prime is 164109773. The next prime is 164109817. The reversal of 164109807 is 708901461.

164109807 is a `hidden beast` number, since 1 + 641 + 0 + 9 + 8 + 0 + 7 = 666.

It is not a de Polignac number, because 164109807 - 2⁷ = 164109679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164109817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9093 + ... + 20270.

It is an arithmetic number, because the mean of its divisors is an integer number (10688496).

Almost surely, 2^164109807 is an apocalyptic number.

164109807 is a deficient number, since it is larger than the sum of its proper divisors (92414097).

164109807 is an equidigital number, since it uses as much as digits as its factorization.

164109807 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29401 (or 29389 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 164109807 is about 12810.5350005376. The cubic root of 164109807 is about 547.4925050578.

Adding to 164109807 its product of nonzero digits (12096), we get a triangular number (164121903 = T₁₈₁₁₇).

The spelling of 164109807 in words is "one hundred sixty-four million, one hundred nine thousand, eight hundred seven".