164105424 has 120 divisors (see below), whose sum is σ = 532501632. Its totient is φ = 46206720.

The previous prime is 164105423. The next prime is 164105429. The reversal of 164105424 is 424501461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164105423) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70422 + ... + 72714.

Almost surely, 2^164105424 is an apocalyptic number.

164105424 is a gapful number since it is divisible by the number (14) 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 164105424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266250816).

164105424 is an abundant number, since it is smaller than the sum of its proper divisors (368396208).

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

164105424 is a wasteful number, since it uses less digits than its factorization.

164105424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2385 (or 2376 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 164105424 is about 12810.3639292567. The cubic root of 164105424 is about 547.4876309209.

Adding to 164105424 its reverse (424501461), we get a palindrome (588606885).

The spelling of 164105424 in words is "one hundred sixty-four million, one hundred five thousand, four hundred twenty-four".