105616536768 has 112 divisors (see below), whose sum is σ = 310577138560. Its totient is φ = 35195980032.

The previous prime is 105616536763. The next prime is 105616536791. The reversal of 105616536768 is 867635616501.

105616536768 is a `hidden beast` number, since 1 + 0 + 561 + 6 + 5 + 3 + 6 + 76 + 8 = 666.

It is a super-2 number, since 2×105616536768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (105616536763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9607371 + ... + 9618357.

Almost surely, 2^105616536768 is an apocalyptic number.

105616536768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105616536768 is an abundant number, since it is smaller than the sum of its proper divisors (204960601792).

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

105616536768 is a wasteful number, since it uses less digits than its factorization.

105616536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16571 (or 16555 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 105616536768 in words is "one hundred five billion, six hundred sixteen million, five hundred thirty-six thousand, seven hundred sixty-eight".