164852100 has 216 divisors, whose sum is σ = 597961728. Its totient is φ = 37209600.

The previous prime is 164852089. The next prime is 164852117. The reversal of 164852100 is 1258461.

164852100 is a `hidden beast` number, since 1 + 648 + 5 + 2 + 10 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 863005 + ... + 863195.

Almost surely, 2^164852100 is an apocalyptic number.

164852100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164852100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298980864).

164852100 is an abundant number, since it is smaller than the sum of its proper divisors (433109628).

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

164852100 is a wasteful number, since it uses less digits than its factorization.

164852100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 164852100 is about 12839.4742883032. The cubic root of 164852100 is about 548.3167268822.

The spelling of 164852100 in words is "one hundred sixty-four million, eight hundred fifty-two thousand, one hundred".