106000006041 has 24 divisors (see below), whose sum is σ = 166071755304. Its totient is φ = 64887613440.

The previous prime is 106000006039. The next prime is 106000006043. The reversal of 106000006041 is 140600000601.

106000006041 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 0 + 0 + 0 + 604 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (106000006039) and next prime (106000006043).

It can be written as a sum of positive squares in 4 ways, for example, as 25128590400 + 80871415641 = 158520^2 + 284379^2 .

It is not a de Polignac number, because 106000006041 - 2¹ = 106000006039 is a prime.

It is a super-2 number, since 2×106000006041² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106000006043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8442636 + ... + 8455181.

It is an arithmetic number, because the mean of its divisors is an integer number (6919656471).

Almost surely, 2^106000006041 is an apocalyptic number.

It is an amenable number.

106000006041 is a deficient number, since it is larger than the sum of its proper divisors (60071749263).

106000006041 is a wasteful number, since it uses less digits than its factorization.

106000006041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16897881 (or 16897878 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 106000006041 its reverse (140600000601), we get a palindrome (246600006642).

The spelling of 106000006041 in words is "one hundred six billion, six thousand, forty-one".