164800100 has 18 divisors (see below), whose sum is σ = 357616434. Its totient is φ = 65920000.

The previous prime is 164800099. The next prime is 164800117. The reversal of 164800100 is 1008461.

It can be written as a sum of positive squares in 3 ways, for example, as 139876 + 164660224 = 374^2 + 12832^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 5 ways as a sum of consecutive naturals, for example, 823901 + ... + 824100.

Almost surely, 2^164800100 is an apocalyptic number.

164800100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164800100 is an abundant number, since it is smaller than the sum of its proper divisors (192816334).

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

164800100 is a wasteful number, since it uses less digits than its factorization.

164800100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1648015 (or 1648008 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 164800100 is about 12837.4491235603. The cubic root of 164800100 is about 548.2590681924.

Adding to 164800100 its reverse (1008461), we get a palindrome (165808561).

The spelling of 164800100 in words is "one hundred sixty-four million, eight hundred thousand, one hundred".