164024100 has 108 divisors (see below), whose sum is σ = 530799360. Its totient is φ = 42321600.

The previous prime is 164024099. The next prime is 164024137. The reversal of 164024100 is 1420461.

164024100 is a `hidden beast` number, since 1 + 640 + 24 + 1 + 0 + 0 = 666.

164024100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 24961 + ... + 30839.

Almost surely, 2^164024100 is an apocalyptic number.

164024100 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 164024100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265399680).

164024100 is an abundant number, since it is smaller than the sum of its proper divisors (366775260).

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

164024100 is a wasteful number, since it uses less digits than its factorization.

164024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5930 (or 5920 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 164024100 is about 12807.1893872153. The cubic root of 164024100 is about 547.3971784143.

Adding to 164024100 its reverse (1420461), we get a palindrome (165444561).

It can be divided in two parts, 16402 and 4100, that added together give a palindrome (20502).

The spelling of 164024100 in words is "one hundred sixty-four million, twenty-four thousand, one hundred".