164010100 has 36 divisors (see below), whose sum is σ = 356577004. Its totient is φ = 65479680.

The previous prime is 164010097. The next prime is 164010113. The reversal of 164010100 is 1010461.

It can be written as a sum of positive squares in 6 ways, for example, as 272484 + 163737616 = 522^2 + 12796^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66082 + ... + 68518.

Almost surely, 2^164010100 is an apocalyptic number.

164010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164010100 is an abundant number, since it is smaller than the sum of its proper divisors (192566904).

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

164010100 is a wasteful number, since it uses less digits than its factorization.

164010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3124 (or 3117 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 164010100 is about 12806.6428075433. The cubic root of 164010100 is about 547.3816039173.

Adding to 164010100 its reverse (1010461), we get a palindrome (165020561).

The spelling of 164010100 in words is "one hundred sixty-four million, ten thousand, one hundred".