106105830569 has 8 divisors (see below), whose sum is σ = 106882043400. Its totient is φ = 105332018176.

The previous prime is 106105830553. The next prime is 106105830601. The reversal of 106105830569 is 965038501601.

It can be written as a sum of positive squares in 4 ways, for example, as 23557645225 + 82548185344 = 153485^2 + 287312^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106105830569 - 2⁴ = 106105830553 is a prime.

It is a super-2 number, since 2×106105830569² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (106105830539) 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 7 ways as a sum of consecutive naturals, for example, 511334 + ... + 688239.

It is an arithmetic number, because the mean of its divisors is an integer number (13360255425).

Almost surely, 2^106105830569 is an apocalyptic number.

It is an amenable number.

106105830569 is a deficient number, since it is larger than the sum of its proper divisors (776212831).

106105830569 is a wasteful number, since it uses less digits than its factorization.

106105830569 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200219.

The product of its (nonzero) digits is 194400, while the sum is 44.

The spelling of 106105830569 in words is "one hundred six billion, one hundred five million, eight hundred thirty thousand, five hundred sixty-nine".