165340220100 has 432 divisors, whose sum is σ = 576019382400. Its totient is φ = 36419891200.

The previous prime is 165340220063. The next prime is 165340220107. The reversal of 165340220100 is 1022043561.

165340220100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (165340220107) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 17891281 + ... + 17900519.

It is an arithmetic number, because the mean of its divisors is an integer number (1333378200).

Almost surely, 2^165340220100 is an apocalyptic number.

165340220100 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 165340220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288009691200).

165340220100 is an abundant number, since it is smaller than the sum of its proper divisors (410679162300).

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

165340220100 is a wasteful number, since it uses less digits than its factorization.

165340220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9324 (or 9306 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 165340220100 its reverse (1022043561), we get a palindrome (166362263661).

The spelling of 165340220100 in words is "one hundred sixty-five billion, three hundred forty million, two hundred twenty thousand, one hundred".