165121132105 has 8 divisors (see below), whose sum is σ = 201393643464. Its totient is φ = 129931382400.

The previous prime is 165121132087. The next prime is 165121132181. The reversal of 165121132105 is 501231121561.

165121132105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15298721344 + 149822410761 = 123688^2 + 387069^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 165121132105 - 2⁷ = 165121131977 is a prime.

It is a Duffinian 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 7 ways as a sum of consecutive naturals, for example, 270690076 + ... + 270690685.

It is an arithmetic number, because the mean of its divisors is an integer number (25174205433).

Almost surely, 2^165121132105 is an apocalyptic number.

It is an amenable number.

165121132105 is a deficient number, since it is larger than the sum of its proper divisors (36272511359).

165121132105 is an equidigital number, since it uses as much as digits as its factorization.

165121132105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541380827.

The product of its (nonzero) digits is 1800, while the sum is 28.

Adding to 165121132105 its reverse (501231121561), we get a palindrome (666352253666).

The spelling of 165121132105 in words is "one hundred sixty-five billion, one hundred twenty-one million, one hundred thirty-two thousand, one hundred five".