165126105 has 12 divisors (see below), whose sum is σ = 286218660. Its totient is φ = 88067232.

The previous prime is 165126097. The next prime is 165126113. The reversal of 165126105 is 501621561.

It is a happy number.

165126105 is a `hidden beast` number, since 1 + 651 + 2 + 6 + 1 + 0 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (165126097) and next prime (165126113).

It can be written as a sum of positive squares in 2 ways, for example, as 74857104 + 90269001 = 8652^2 + 9501^2 .

It is not a de Polignac number, because 165126105 - 2³ = 165126097 is a prime.

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 11 ways as a sum of consecutive naturals, for example, 1834690 + ... + 1834779.

It is an arithmetic number, because the mean of its divisors is an integer number (23851555).

Almost surely, 2^165126105 is an apocalyptic number.

165126105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165126105 is a deficient number, since it is larger than the sum of its proper divisors (121092555).

165126105 is a wasteful number, since it uses less digits than its factorization.

165126105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3669480 (or 3669477 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The square root of 165126105 is about 12850.1402716079. The cubic root of 165126105 is about 548.6203492633.

Adding to 165126105 its reverse (501621561), we get a palindrome (666747666).

The spelling of 165126105 in words is "one hundred sixty-five million, one hundred twenty-six thousand, one hundred five".