105663504960 has 1008 divisors, whose sum is σ = 417668659200. Its totient is φ = 24469585920.

The previous prime is 105663504943. The next prime is 105663504967. The reversal of 105663504960 is 69405366501.

105663504960 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 635 + 0 + 4 + 9 + 6 + 0 = 666.

It is a super-3 number, since 3×105663504960³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is not an unprimeable number, because it can be changed into a prime (105663504967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 709150966 + ... + 709151114.

Almost surely, 2^105663504960 is an apocalyptic number.

105663504960 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 105663504960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208834329600).

105663504960 is an abundant number, since it is smaller than the sum of its proper divisors (312005154240).

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

105663504960 is a wasteful number, since it uses less digits than its factorization.

105663504960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 105663504960 in words is "one hundred five billion, six hundred sixty-three million, five hundred four thousand, nine hundred sixty".