105663441013506 has 64 divisors (see below), whose sum is σ = 234901322697600. Its totient is φ = 35207098331328.

The previous prime is 105663441013499. The next prime is 105663441013523. The reversal of 105663441013506 is 605310144366501.

105663441013506 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 6 + 34 + 4 + 101 + 3 + 506 = 666.

It is a super-2 number, since 2×105663441013506² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1650005320 + ... + 1650069356.

It is an arithmetic number, because the mean of its divisors is an integer number (3670333167150).

Almost surely, 2^{105663441013506} is an apocalyptic number.

105663441013506 is an abundant number, since it is smaller than the sum of its proper divisors (129237881684094).

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

105663441013506 is a wasteful number, since it uses less digits than its factorization.

105663441013506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75760 (or 75754 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 105663441013506 in words is "one hundred five trillion, six hundred sixty-three billion, four hundred forty-one million, thirteen thousand, five hundred six".