164064100 has 18 divisors (see below), whose sum is σ = 356019314. Its totient is φ = 65625600.

The previous prime is 164064091. The next prime is 164064101. The reversal of 164064100 is 1460461.

It can be written as a sum of positive squares in 3 ways, for example, as 23736384 + 140327716 = 4872^2 + 11846^2 .

It is not an unprimeable number, because it can be changed into a prime (164064101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 820221 + ... + 820420.

Almost surely, 2^164064100 is an apocalyptic number.

164064100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164064100 is an abundant number, since it is smaller than the sum of its proper divisors (191955214).

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

164064100 is a wasteful number, since it uses less digits than its factorization.

164064100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1640655 (or 1640648 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 164064100 is about 12808.7509149019. The cubic root of 164064100 is about 547.4416720943.

The spelling of 164064100 in words is "one hundred sixty-four million, sixty-four thousand, one hundred".