105463861503 has 128 divisors (see below), whose sum is σ = 200245893120. Its totient is φ = 47516958720.

The previous prime is 105463861483. The next prime is 105463861511. The reversal of 105463861503 is 305168364501.

It is a Cunningham number, because it is equal to 324752²-1.

It is not a de Polignac number, because 105463861503 - 2⁵ = 105463861471 is a prime.

It is a super-2 number, since 2×105463861503² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105463861513) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 38644243 + ... + 38646971.

It is an arithmetic number, because the mean of its divisors is an integer number (1564421040).

Almost surely, 2^105463861503 is an apocalyptic number.

105463861503 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105463861503 is a deficient number, since it is larger than the sum of its proper divisors (94782031617).

105463861503 is a wasteful number, since it uses less digits than its factorization.

105463861503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3537.

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 105463861503 in words is "one hundred five billion, four hundred sixty-three million, eight hundred sixty-one thousand, five hundred three".