164011300 has 36 divisors (see below), whose sum is σ = 356484996. Its totient is φ = 65497600.

The previous prime is 164011277. The next prime is 164011301. The reversal of 164011300 is 3110461.

It can be written as a sum of positive squares in 6 ways, for example, as 580644 + 163430656 = 762^2 + 12784^2 .

It is not an unprimeable number, because it can be changed into a prime (164011301) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 94440 + ... + 96160.

It is an arithmetic number, because the mean of its divisors is an integer number (9902361).

Almost surely, 2^164011300 is an apocalyptic number.

164011300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164011300 is an abundant number, since it is smaller than the sum of its proper divisors (192473696).

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

164011300 is a wasteful number, since it uses less digits than its factorization.

164011300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2688 (or 2681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 164011300 is about 12806.6896581435. The cubic root of 164011300 is about 547.3829389089.

Adding to 164011300 its reverse (3110461), we get a palindrome (167121761).

The spelling of 164011300 in words is "one hundred sixty-four million, eleven thousand, three hundred".