106105869 has 10 divisors (see below), whose sum is σ = 158503950. Its totient is φ = 70737192.

The previous prime is 106105849. The next prime is 106105871. The reversal of 106105869 is 968501601.

106105869 is a `hidden beast` number, since 10 + 61 + 0 + 586 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 101243844 + 4862025 = 10062^2 + 2205^2 .

It is not a de Polignac number, because 106105869 - 2⁸ = 106105613 is a prime.

It is a super-2 number, since 2×106105869² = 22516910872490322, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106105849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 654894 + ... + 655055.

It is an arithmetic number, because the mean of its divisors is an integer number (15850395).

Almost surely, 2^106105869 is an apocalyptic number.

It is an amenable number.

106105869 is a deficient number, since it is larger than the sum of its proper divisors (52398081).

106105869 is an equidigital number, since it uses as much as digits as its factorization.

106105869 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309961 (or 1309952 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 106105869 is about 10300.7703110010. The cubic root of 106105869 is about 473.4198558467.

The spelling of 106105869 in words is "one hundred six million, one hundred five thousand, eight hundred sixty-nine".