105567841 has 16 divisors (see below), whose sum is σ = 114307200. Its totient is φ = 97135360.

The previous prime is 105567829. The next prime is 105567851. The reversal of 105567841 is 148765501.

It is a cyclic number.

It is not a de Polignac number, because 105567841 - 2⁵ = 105567809 is a prime.

It is a super-2 number, since 2×105567841² = 22289138106802562, which contains 22 as substring.

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 105567841.

It is not an unprimeable number, because it can be changed into a prime (105567821) 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 15 ways as a sum of consecutive naturals, for example, 179550 + ... + 180136.

It is an arithmetic number, because the mean of its divisors is an integer number (7144200).

Almost surely, 2^105567841 is an apocalyptic number.

It is an amenable number.

105567841 is a deficient number, since it is larger than the sum of its proper divisors (8739359).

105567841 is a wasteful number, since it uses less digits than its factorization.

105567841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824.

The product of its (nonzero) digits is 33600, while the sum is 37.

The square root of 105567841 is about 10274.6212095629. The cubic root of 105567841 is about 472.6183140164.

The spelling of 105567841 in words is "one hundred five million, five hundred sixty-seven thousand, eight hundred forty-one".