164192900 has 18 divisors (see below), whose sum is σ = 356298810. Its totient is φ = 65677120.

The previous prime is 164192869. The next prime is 164192909. The reversal of 164192900 is 9291461.

It can be written as a sum of positive squares in 3 ways, for example, as 23580736 + 140612164 = 4856^2 + 11858^2 .

It is not an unprimeable number, because it can be changed into a prime (164192909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 820865 + ... + 821064.

Almost surely, 2^164192900 is an apocalyptic number.

164192900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164192900 is an abundant number, since it is smaller than the sum of its proper divisors (192105910).

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

164192900 is a wasteful number, since it uses less digits than its factorization.

164192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1641943 (or 1641936 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 32.

The square root of 164192900 is about 12813.7777411660. Note that the first 4 decimals coincide. The cubic root of 164192900 is about 547.5848926278.

The spelling of 164192900 in words is "one hundred sixty-four million, one hundred ninety-two thousand, nine hundred".