165045445110105 has 256 divisors, whose sum is σ = 321086973542400. Its totient is φ = 70811130424320.

The previous prime is 165045445110101. The next prime is 165045445110107. The reversal of 165045445110105 is 501011544540561.

It is a happy number.

It is not a de Polignac number, because 165045445110105 - 2² = 165045445110101 is a prime.

It is a super-2 number, since 2×165045445110105² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (165045445110101) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 22044265672 + ... + 22044273158.

It is an arithmetic number, because the mean of its divisors is an integer number (1254245990400).

Almost surely, 2^{165045445110105} is an apocalyptic number.

165045445110105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165045445110105 is a deficient number, since it is larger than the sum of its proper divisors (156041528432295).

165045445110105 is a wasteful number, since it uses less digits than its factorization.

165045445110105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9124.

The product of its (nonzero) digits is 240000, while the sum is 42.

Adding to 165045445110105 its reverse (501011544540561), we get a palindrome (666056989650666).

The spelling of 165045445110105 in words is "one hundred sixty-five trillion, forty-five billion, four hundred forty-five million, one hundred ten thousand, one hundred five".