105361663506 has 32 divisors (see below), whose sum is σ = 229898779200. Its totient is φ = 31925167680.

The previous prime is 105361663501. The next prime is 105361663523. The reversal of 105361663506 is 605366163501.

It is a super-2 number, since 2×105361663506² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105361663501) 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 15 ways as a sum of consecutive naturals, for example, 843760 + ... + 960548.

It is an arithmetic number, because the mean of its divisors is an integer number (7184336850).

Almost surely, 2^105361663506 is an apocalyptic number.

105361663506 is an abundant number, since it is smaller than the sum of its proper divisors (124537115694).

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

105361663506 is a wasteful number, since it uses less digits than its factorization.

105361663506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130474.

The product of its (nonzero) digits is 291600, while the sum is 42.

It can be divided in two parts, 105361 and 663506, that added together give a palindrome (768867).

The spelling of 105361663506 in words is "one hundred five billion, three hundred sixty-one million, six hundred sixty-three thousand, five hundred six".