105168961 has 4 divisors (see below), whose sum is σ = 105487024. Its totient is φ = 104850900.

The previous prime is 105168923. The next prime is 105168967. The reversal of 105168961 is 169861501.

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 105168961 - 2⁹ = 105168449 is a prime.

It is a super-2 number, since 2×105168961² = 22121020715639042, 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 105168961.

It is not an unprimeable number, because it can be changed into a prime (105168967) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 158535 + ... + 159196.

It is an arithmetic number, because the mean of its divisors is an integer number (26371756).

Almost surely, 2^105168961 is an apocalyptic number.

It is an amenable number.

105168961 is a deficient number, since it is larger than the sum of its proper divisors (318063).

105168961 is an equidigital number, since it uses as much as digits as its factorization.

105168961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318062.

The product of its (nonzero) digits is 12960, while the sum is 37.

The square root of 105168961 is about 10255.1919045915. The cubic root of 105168961 is about 472.0223120378.

The spelling of 105168961 in words is "one hundred five million, one hundred sixty-eight thousand, nine hundred sixty-one".