105682272768 has 90 divisors (see below), whose sum is σ = 305069896989. Its totient is φ = 35220068352.

The previous prime is 105682272757. The next prime is 105682272779. The reversal of 105682272768 is 867272286501.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

105682272768 is a `hidden beast` number, since 1 + 0 + 568 + 2 + 2 + 7 + 2 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (105682272757) and next prime (105682272779).

It can be written as a sum of positive squares in 2 ways, for example, as 79686514944 + 25995757824 = 282288^2 + 161232^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=229872.

It is a super-2 number, since 2×105682272768² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22065318 + ... + 22070106.

Almost surely, 2^105682272768 is an apocalyptic number.

105682272768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105682272768

105682272768 is an abundant number, since it is smaller than the sum of its proper divisors (199387624221).

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

105682272768 is an frugal number, since it uses more digits than its factorization.

105682272768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9602 (or 4794 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 105682272768 in words is "one hundred five billion, six hundred eighty-two million, two hundred seventy-two thousand, seven hundred sixty-eight".