105563145636 has 72 divisors (see below), whose sum is σ = 287655843384. Its totient is φ = 32448245760.

The previous prime is 105563145613. The next prime is 105563145637. The reversal of 105563145636 is 636541365501.

It is a happy number.

105563145636 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 6 + 3 + 1 + 4 + 5 + 636 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27383630400 + 78179515236 = 165480^2 + 279606^2 .

It is a super-2 number, since 2×105563145636² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105563145591 and 105563145600.

It is not an unprimeable number, because it can be changed into a prime (105563145637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 353476 + ... + 579716.

It is an arithmetic number, because the mean of its divisors is an integer number (3995220047).

Almost surely, 2^105563145636 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105563145636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143827921692).

105563145636 is an abundant number, since it is smaller than the sum of its proper divisors (182092697748).

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

105563145636 is a wasteful number, since it uses less digits than its factorization.

105563145636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227261 (or 227256 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 105563145636 in words is "one hundred five billion, five hundred sixty-three million, one hundred forty-five thousand, six hundred thirty-six".