105696961 has 4 divisors (see below), whose sum is σ = 105730900. Its totient is φ = 105663024.

The previous prime is 105696959. The next prime is 105696971. The reversal of 105696961 is 169696501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 169696501 = 13 ⋅13053577.

It can be written as a sum of positive squares in 2 ways, for example, as 23232400 + 82464561 = 4820^2 + 9081^2 .

It is a cyclic number.

It is not a de Polignac number, because 105696961 - 2¹ = 105696959 is a prime.

It is a super-2 number, since 2×105696961² = 22343695129271042, 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 not an unprimeable number, because it can be changed into a prime (105696911) 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 3 ways as a sum of consecutive naturals, for example, 11766 + ... + 18703.

It is an arithmetic number, because the mean of its divisors is an integer number (26432725).

Almost surely, 2^105696961 is an apocalyptic number.

It is an amenable number.

105696961 is a deficient number, since it is larger than the sum of its proper divisors (33939).

105696961 is an equidigital number, since it uses as much as digits as its factorization.

105696961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33938.

The product of its (nonzero) digits is 87480, while the sum is 43.

The square root of 105696961 is about 10280.9027327370. The cubic root of 105696961 is about 472.8109219588.

The spelling of 105696961 in words is "one hundred five million, six hundred ninety-six thousand, nine hundred sixty-one".