164027903900 has 72 divisors (see below), whose sum is σ = 407123942400. Its totient is φ = 56191861440.

The previous prime is 164027903833. The next prime is 164027903939. The reversal of 164027903900 is 9309720461.

164027903900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 760301 + ... + 951899.

It is an arithmetic number, because the mean of its divisors is an integer number (5654499200).

Almost surely, 2^164027903900 is an apocalyptic number.

164027903900 is a gapful number since it is divisible by the number (10) 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 164027903900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203561971200).

164027903900 is an abundant number, since it is smaller than the sum of its proper divisors (243096038500).

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

164027903900 is a wasteful number, since it uses less digits than its factorization.

164027903900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192843 (or 192836 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 41.

The spelling of 164027903900 in words is "one hundred sixty-four billion, twenty-seven million, nine hundred three thousand, nine hundred".