105414165 has 12 divisors (see below), whose sum is σ = 182717964. Its totient is φ = 56220864.

The previous prime is 105414163. The next prime is 105414173. The reversal of 105414165 is 561414501.

It can be written as a sum of positive squares in 2 ways, for example, as 39463524 + 65950641 = 6282^2 + 8121^2 .

It is not a de Polignac number, because 105414165 - 2¹ = 105414163 is a prime.

It is a super-2 number, since 2×105414165² = 22224292365294450, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105414163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1171224 + ... + 1171313.

It is an arithmetic number, because the mean of its divisors is an integer number (15226497).

Almost surely, 2^105414165 is an apocalyptic number.

105414165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105414165 is a deficient number, since it is larger than the sum of its proper divisors (77303799).

105414165 is a wasteful number, since it uses less digits than its factorization.

105414165 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342548 (or 2342545 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105414165 is about 10267.1400594323. The cubic root of 105414165 is about 472.3888711526.

Adding to 105414165 its reverse (561414501), we get a palindrome (666828666).

It can be divided in two parts, 10541 and 4165, that added together give a triangular number (14706 = T₁₇₁).

The spelling of 105414165 in words is "one hundred five million, four hundred fourteen thousand, one hundred sixty-five".