105905943 has 96 divisors (see below), whose sum is σ = 194987520. Its totient is φ = 54432000.

The previous prime is 105905927. The next prime is 105906023. The reversal of 105905943 is 349509501.

105905943 is a `hidden beast` number, since 10 + 59 + 0 + 594 + 3 = 666.

It is not a de Polignac number, because 105905943 - 2⁴ = 105905927 is a prime.

It is a super-2 number, since 2×105905943² = 22432137525438498, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105905898 and 105905907.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105905923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1491598 + ... + 1491668.

It is an arithmetic number, because the mean of its divisors is an integer number (2031120).

Almost surely, 2^105905943 is an apocalyptic number.

105905943 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105905943 is a deficient number, since it is larger than the sum of its proper divisors (89081577).

105905943 is a wasteful number, since it uses less digits than its factorization.

105905943 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 105905943 is about 10291.0613155301. The cubic root of 105905943 is about 473.1223277032.

The spelling of 105905943 in words is "one hundred five million, nine hundred five thousand, nine hundred forty-three".