105705981 has 6 divisors (see below), whose sum is σ = 152686430. Its totient is φ = 70470648.

The previous prime is 105705959. The next prime is 105706019. The reversal of 105705981 is 189507501.

105705981 is a `hidden beast` number, since 1 + 0 + 570 + 5 + 9 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 103428900 + 2277081 = 10170^2 + 1509^2 .

It is not a de Polignac number, because 105705981 - 2¹⁰ = 105704957 is a prime.

It is a super-2 number, since 2×105705981² = 22347508838344722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105705931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5872546 + ... + 5872563.

Almost surely, 2^105705981 is an apocalyptic number.

It is an amenable number.

105705981 is a deficient number, since it is larger than the sum of its proper divisors (46980449).

105705981 is a wasteful number, since it uses less digits than its factorization.

105705981 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11745115 (or 11745112 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 36.

The square root of 105705981 is about 10281.3414008095. The cubic root of 105705981 is about 472.8243712046.

The spelling of 105705981 in words is "one hundred five million, seven hundred five thousand, nine hundred eighty-one".