164101110160 has 80 divisors (see below), whose sum is σ = 435053623536. Its totient is φ = 57026985984.

The previous prime is 164101110139. The next prime is 164101110163. The reversal of 164101110160 is 61011101461.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 35604670864 + 128496439296 = 188692^2 + 358464^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (164101110163) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4623189 + ... + 4658548.

Almost surely, 2^164101110160 is an apocalyptic number.

164101110160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

164101110160 is an abundant number, since it is smaller than the sum of its proper divisors (270952513376).

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

164101110160 is a wasteful number, since it uses less digits than its factorization.

164101110160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9281780 (or 9281774 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 22.

The spelling of 164101110160 in words is "one hundred sixty-four billion, one hundred one million, one hundred ten thousand, one hundred sixty".