106530442565 has 16 divisors (see below), whose sum is σ = 129241867248. Its totient is φ = 84292571136.

The previous prime is 106530442553. The next prime is 106530442589. The reversal of 106530442565 is 565244035601.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 7452178276 + 99078264289 = 86326^2 + 314767^2 .

It is a cyclic number.

It is not a de Polignac number, because 106530442565 - 2²⁰ = 106529393989 is a prime.

It is a super-2 number, since 2×106530442565² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

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, 152114 + ... + 486003.

It is an arithmetic number, because the mean of its divisors is an integer number (8077616703).

Almost surely, 2^106530442565 is an apocalyptic number.

It is an amenable number.

106530442565 is a deficient number, since it is larger than the sum of its proper divisors (22711424683).

106530442565 is a wasteful number, since it uses less digits than its factorization.

106530442565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638488.

The product of its (nonzero) digits is 432000, while the sum is 41.

The spelling of 106530442565 in words is "one hundred six billion, five hundred thirty million, four hundred forty-two thousand, five hundred sixty-five".