105006340565 has 32 divisors (see below), whose sum is σ = 144353664000. Its totient is φ = 71832096000.

The previous prime is 105006340529. The next prime is 105006340567. The reversal of 105006340565 is 565043600501.

It is not a de Polignac number, because 105006340565 - 2⁶ = 105006340501 is a prime.

It is a super-2 number, since 2×105006340565² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105006340567) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49044395 + ... + 49046535.

It is an arithmetic number, because the mean of its divisors is an integer number (4511052000).

Almost surely, 2^105006340565 is an apocalyptic number.

It is an amenable number.

105006340565 is a deficient number, since it is larger than the sum of its proper divisors (39347323435).

105006340565 is a wasteful number, since it uses less digits than its factorization.

105006340565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4853.

The product of its (nonzero) digits is 54000, while the sum is 35.

The spelling of 105006340565 in words is "one hundred five billion, six million, three hundred forty thousand, five hundred sixty-five".