105006340564 has 12 divisors (see below), whose sum is σ = 191750709024. Its totient is φ = 50220423704.

The previous prime is 105006340529. The next prime is 105006340567. The reversal of 105006340564 is 465043600501.

It is a super-2 number, since 2×105006340564² (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 (105006340567) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 570686542 + ... + 570686725.

It is an arithmetic number, because the mean of its divisors is an integer number (15979225752).

Almost surely, 2^105006340564 is an apocalyptic number.

It is an amenable number.

105006340564 is a deficient number, since it is larger than the sum of its proper divisors (86744368460).

105006340564 is a wasteful number, since it uses less digits than its factorization.

105006340564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1141373294 (or 1141373292 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 34.

The spelling of 105006340564 in words is "one hundred five billion, six million, three hundred forty thousand, five hundred sixty-four".