105874561 has 16 divisors (see below), whose sum is σ = 116339328. Its totient is φ = 95760000.

The previous prime is 105874541. The next prime is 105874583. The reversal of 105874561 is 165478501.

It is a cyclic number.

It is not a de Polignac number, because 105874561 - 2²³ = 97485953 is a prime.

It is a super-2 number, since 2×105874561² = 22418845333885442, 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 105874561.

It is not an unprimeable number, because it can be changed into a prime (105874511) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 231445 + ... + 231901.

It is an arithmetic number, because the mean of its divisors is an integer number (7271208).

Almost surely, 2^105874561 is an apocalyptic number.

105874561 is the 5941-st octagonal number.

It is an amenable number.

105874561 is a deficient number, since it is larger than the sum of its proper divisors (10464767).

105874561 is a wasteful number, since it uses less digits than its factorization.

105874561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792.

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

The square root of 105874561 is about 10289.5364812998. The cubic root of 105874561 is about 473.0755912903.

The spelling of 105874561 in words is "one hundred five million, eight hundred seventy-four thousand, five hundred sixty-one".