105165561 has 8 divisors (see below), whose sum is σ = 140339584. Its totient is φ = 70050960.

The previous prime is 105165559. The next prime is 105165601. The reversal of 105165561 is 165561501.

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

It is not a de Polignac number, because 105165561 - 2¹ = 105165559 is a prime.

It is a super-2 number, since 2×105165561² = 22119590440889442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105165521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10546 + ... + 17931.

It is an arithmetic number, because the mean of its divisors is an integer number (17542448).

Almost surely, 2^105165561 is an apocalyptic number.

It is an amenable number.

105165561 is a deficient number, since it is larger than the sum of its proper divisors (35174023).

105165561 is a wasteful number, since it uses less digits than its factorization.

105165561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29711.

The product of its (nonzero) digits is 4500, while the sum is 30.

The square root of 105165561 is about 10255.0261335601. The cubic root of 105165561 is about 472.0172253242.

The spelling of 105165561 in words is "one hundred five million, one hundred sixty-five thousand, five hundred sixty-one".