164020100 has 18 divisors (see below), whose sum is σ = 355923834. Its totient is φ = 65608000.

The previous prime is 164020091. The next prime is 164020121. The reversal of 164020100 is 1020461.

It can be written as a sum of positive squares in 3 ways, for example, as 1406596 + 162613504 = 1186^2 + 12752^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 820001 + ... + 820200.

Almost surely, 2^164020100 is an apocalyptic number.

164020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164020100 is an abundant number, since it is smaller than the sum of its proper divisors (191903734).

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

164020100 is a wasteful number, since it uses less digits than its factorization.

164020100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640215 (or 1640208 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 164020100 is about 12807.0332239750. The cubic root of 164020100 is about 547.3927286484.

Adding to 164020100 its reverse (1020461), we get a palindrome (165040561).

The spelling of 164020100 in words is "one hundred sixty-four million, twenty thousand, one hundred".