105655041 has 12 divisors (see below), whose sum is σ = 153179520. Its totient is φ = 70175160.

The previous prime is 105655021. The next prime is 105655049. The reversal of 105655041 is 140556501.

It is a happy number.

105655041 is a `hidden beast` number, since 1 + 0 + 5 + 655 + 0 + 4 + 1 = 666.

It is not a de Polignac number, because 105655041 - 2⁶ = 105654977 is a prime.

It is a super-2 number, since 2×105655041² = 22325975377423362, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105654996 and 105655014.

It is not an unprimeable number, because it can be changed into a prime (105655049) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19221 + ... + 24098.

It is an arithmetic number, because the mean of its divisors is an integer number (12764960).

Almost surely, 2^105655041 is an apocalyptic number.

It is an amenable number.

105655041 is a deficient number, since it is larger than the sum of its proper divisors (47524479).

105655041 is a wasteful number, since it uses less digits than its factorization.

105655041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43596 (or 43593 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 105655041 is about 10278.8637990782. The cubic root of 105655041 is about 472.7484072170.

The spelling of 105655041 in words is "one hundred five million, six hundred fifty-five thousand, forty-one".