105010565 has 8 divisors (see below), whose sum is σ = 137468448. Its totient is φ = 76371280.

The previous prime is 105010559. The next prime is 105010583. The reversal of 105010565 is 565010501.

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

It is not a de Polignac number, because 105010565 - 2¹⁸ = 104748421 is a prime.

It is a super-2 number, since 2×105010565² = 22054437523238450, which contains 22 as substring.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105010565.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 954587 + ... + 954696.

It is an arithmetic number, because the mean of its divisors is an integer number (17183556).

Almost surely, 2^105010565 is an apocalyptic number.

It is an amenable number.

105010565 is a deficient number, since it is larger than the sum of its proper divisors (32457883).

105010565 is a wasteful number, since it uses less digits than its factorization.

105010565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1909299.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105010565 is about 10247.4662722060. The cubic root of 105010565 is about 471.7852204968.

The spelling of 105010565 in words is "one hundred five million, ten thousand, five hundred sixty-five".