164434100 has 18 divisors (see below), whose sum is σ = 356822214. Its totient is φ = 65773600.

The previous prime is 164434099. The next prime is 164434133. The reversal of 164434100 is 1434461.

It can be written as a sum of positive squares in 3 ways, for example, as 39262756 + 125171344 = 6266^2 + 11188^2 .

It is a super-3 number, since 3×164434100³ (a number of 26 digits) contains 333 as substring.

It is a congruent number.

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, 822071 + ... + 822270.

Almost surely, 2^164434100 is an apocalyptic number.

164434100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164434100 is an abundant number, since it is smaller than the sum of its proper divisors (192388114).

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

164434100 is a wasteful number, since it uses less digits than its factorization.

164434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644355 (or 1644348 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 164434100 is about 12823.1860315602. The cubic root of 164434100 is about 547.8528962072.

Adding to 164434100 its reverse (1434461), we get a palindrome (165868561).

The spelling of 164434100 in words is "one hundred sixty-four million, four hundred thirty-four thousand, one hundred".