105010665 has 16 divisors (see below), whose sum is σ = 168202176. Its totient is φ = 55944000.

The previous prime is 105010651. The next prime is 105010673. The reversal of 105010665 is 566010501.

It is not a de Polignac number, because 105010665 - 2¹⁵ = 104977897 is a prime.

It is a super-3 number, since 3×105010665³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12435 + ... + 19095.

It is an arithmetic number, because the mean of its divisors is an integer number (10512636).

Almost surely, 2^105010665 is an apocalyptic number.

105010665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105010665 is a deficient number, since it is larger than the sum of its proper divisors (63191511).

105010665 is a wasteful number, since it uses less digits than its factorization.

105010665 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7720.

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 105010665 is about 10247.4711514598. The cubic root of 105010665 is about 471.7853702548.

The spelling of 105010665 in words is "one hundred five million, ten thousand, six hundred sixty-five".