105550510564 has 6 divisors (see below), whose sum is σ = 184713393494. Its totient is φ = 52775255280.

The previous prime is 105550510561. The next prime is 105550510567. The reversal of 105550510564 is 465015055501.

It is an interprime number because it is at equal distance from previous prime (105550510561) and next prime (105550510567).

It can be written as a sum of positive squares in only one way, i.e., 102963974400 + 2586536164 = 320880^2 + 50858^2 .

It is a super-2 number, since 2×105550510564² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105550510561) 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 as a sum of consecutive naturals, namely, 13193813817 + ... + 13193813824.

Almost surely, 2^105550510564 is an apocalyptic number.

It is an amenable number.

105550510564 is a deficient number, since it is larger than the sum of its proper divisors (79162882930).

105550510564 is a wasteful number, since it uses less digits than its factorization.

105550510564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26387627645 (or 26387627643 counting only the distinct ones).

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 105550510564 in words is "one hundred five billion, five hundred fifty million, five hundred ten thousand, five hundred sixty-four".