105663807522 has 48 divisors (see below), whose sum is σ = 281770157760. Its totient is φ = 27867377376.

The previous prime is 105663807481. The next prime is 105663807523. The reversal of 105663807522 is 225708366501.

105663807522 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 638 + 0 + 7 + 5 + 2 + 2 = 666.

It is a super-2 number, since 2×105663807522² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105663807523) by changing a digit.

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, 32252272 + ... + 32255547.

It is an arithmetic number, because the mean of its divisors is an integer number (5870211620).

Almost surely, 2^105663807522 is an apocalyptic number.

105663807522 is an abundant number, since it is smaller than the sum of its proper divisors (176106350238).

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

105663807522 is a wasteful number, since it uses less digits than its factorization.

105663807522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64507847 (or 64507844 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 105663807522 in words is "one hundred five billion, six hundred sixty-three million, eight hundred seven thousand, five hundred twenty-two".