164105004 has 48 divisors (see below), whose sum is σ = 438464768. Its totient is φ = 46795968.

The previous prime is 164104981. The next prime is 164105009. The reversal of 164105004 is 400501461.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (164105009) 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, 49899 + ... + 53085.

Almost surely, 2^164105004 is an apocalyptic number.

164105004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

164105004 is an abundant number, since it is smaller than the sum of its proper divisors (274359764).

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

164105004 is a wasteful number, since it uses less digits than its factorization.

164105004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3814 (or 3812 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 164105004 is about 12810.3475362693. The cubic root of 164105004 is about 547.4871638533.

Adding to 164105004 its reverse (400501461), we get a palindrome (564606465).

The spelling of 164105004 in words is "one hundred sixty-four million, one hundred five thousand, four".