106321304565 has 64 divisors (see below), whose sum is σ = 227387289600. Its totient is φ = 46045910592.

The previous prime is 106321304563. The next prime is 106321304567. The reversal of 106321304565 is 565403123601.

106321304565 is a `hidden beast` number, since 1 + 0 + 63 + 2 + 1 + 30 + 4 + 565 = 666.

It is an interprime number because it is at equal distance from previous prime (106321304563) and next prime (106321304567).

It is not a de Polignac number, because 106321304565 - 2¹ = 106321304563 is a prime.

It is a super-2 number, since 2×106321304565² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106321304563) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2942817 + ... + 2978726.

It is an arithmetic number, because the mean of its divisors is an integer number (3552926400).

Almost surely, 2^106321304565 is an apocalyptic number.

106321304565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106321304565 is an abundant number, since it is smaller than the sum of its proper divisors (121065985035).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106321304565 is a wasteful number, since it uses less digits than its factorization.

106321304565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5921583 (or 5921577 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 106321304565 in words is "one hundred six billion, three hundred twenty-one million, three hundred four thousand, five hundred sixty-five".