164178936100 has 27 divisors (see below), whose sum is σ = 356277084177. Its totient is φ = 65669953680.

The previous prime is 164178936079. The next prime is 164178936113. The reversal of 164178936100 is 1639871461.

The square root of 164178936100 is 405190.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 59104416996 + 105074519104 = 243114^2 + 324152^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4031641 + ... + 4072159.

Almost surely, 2^164178936100 is an apocalyptic number.

164178936100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

164178936100 is the 405190-th square number.

It is an amenable number.

164178936100 is an abundant number, since it is smaller than the sum of its proper divisors (192098148077).

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

164178936100 is an frugal number, since it uses more digits than its factorization.

164178936100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81052 (or 40526 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The spelling of 164178936100 in words is "one hundred sixty-four billion, one hundred seventy-eight million, nine hundred thirty-six thousand, one hundred".