164431107 has 16 divisors (see below), whose sum is σ = 244392480. Its totient is φ = 109264896.

The previous prime is 164431087. The next prime is 164431109. The reversal of 164431107 is 701134461.

It is a happy number.

164431107 is a `hidden beast` number, since 1 + 644 + 3 + 1 + 10 + 7 = 666.

It is not a de Polignac number, because 164431107 - 2¹⁰ = 164430083 is a prime.

It is a super-3 number, since 3×164431107³ (a number of 26 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (164431109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1278 + ... + 18179.

It is an arithmetic number, because the mean of its divisors is an integer number (15274530).

Almost surely, 2^164431107 is an apocalyptic number.

164431107 is a deficient number, since it is larger than the sum of its proper divisors (79961373).

164431107 is a wasteful number, since it uses less digits than its factorization.

164431107 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19779 (or 19773 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 164431107 is about 12823.0693283628. The cubic root of 164431107 is about 547.8495722136.

Adding to 164431107 its reverse (701134461), we get a palindrome (865565568).

The spelling of 164431107 in words is "one hundred sixty-four million, four hundred thirty-one thousand, one hundred seven".