105106561 has 4 divisors (see below), whose sum is σ = 120121792. Its totient is φ = 90091332.

The previous prime is 105106543. The next prime is 105106679. The reversal of 105106561 is 165601501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105106561 - 2⁷ = 105106433 is a prime.

It is a super-2 number, since 2×105106561² = 22094778330493442, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105106531) 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 3 ways as a sum of consecutive naturals, for example, 7507605 + ... + 7507618.

It is an arithmetic number, because the mean of its divisors is an integer number (30030448).

Almost surely, 2^105106561 is an apocalyptic number.

It is an amenable number.

105106561 is a deficient number, since it is larger than the sum of its proper divisors (15015231).

105106561 is an equidigital number, since it uses as much as digits as its factorization.

105106561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15015230.

The product of its (nonzero) digits is 900, while the sum is 25.

The square root of 105106561 is about 10252.1490917758. The cubic root of 105106561 is about 471.9289384186.

It can be divided in two parts, 10510 and 6561, that added together give a palindrome (17071).

The spelling of 105106561 in words is "one hundred five million, one hundred six thousand, five hundred sixty-one".