105644263680 has 216 divisors, whose sum is σ = 365771285880. Its totient is φ = 28152299520.

The previous prime is 105644263679. The next prime is 105644263717. The reversal of 105644263680 is 86362446501.

105644263680 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 4 + 4 + 2 + 636 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19123570944 + 86520692736 = 138288^2 + 294144^2 .

It is a super-2 number, since 2×105644263680² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 23 ways as a sum of consecutive naturals, for example, 25583856 + ... + 25587984.

Almost surely, 2^105644263680 is an apocalyptic number.

105644263680 is a gapful number since it is divisible by the number (10) 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 105644263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182885642940).

105644263680 is an abundant number, since it is smaller than the sum of its proper divisors (260127022200).

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

105644263680 is a wasteful number, since it uses less digits than its factorization.

105644263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6377 (or 6360 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 105644263680 in words is "one hundred five billion, six hundred forty-four million, two hundred sixty-three thousand, six hundred eighty".