106006262041 has 16 divisors (see below), whose sum is σ = 112861601424. Its totient is φ = 99220230144.

The previous prime is 106006261987. The next prime is 106006262059. The reversal of 106006262041 is 140262600601.

It can be written as a sum of positive squares in 8 ways, for example, as 16003262016 + 90003000025 = 126504^2 + 300005^2 .

It is a cyclic number.

It is not a de Polignac number, because 106006262041 - 2¹³ = 106006253849 is a prime.

It is a super-2 number, since 2×106006262041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109006262041) 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 15 ways as a sum of consecutive naturals, for example, 9482131 + ... + 9493303.

It is an arithmetic number, because the mean of its divisors is an integer number (7053850089).

Almost surely, 2^106006262041 is an apocalyptic number.

It is an amenable number.

106006262041 is a deficient number, since it is larger than the sum of its proper divisors (6855339383).

106006262041 is a wasteful number, since it uses less digits than its factorization.

106006262041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14220.

The product of its (nonzero) digits is 3456, while the sum is 28.

Adding to 106006262041 its reverse (140262600601), we get a palindrome (246268862642).

The spelling of 106006262041 in words is "one hundred six billion, six million, two hundred sixty-two thousand, forty-one".