105563182749 has 16 divisors (see below), whose sum is σ = 141310646400. Its totient is φ = 70095681216.

The previous prime is 105563182717. The next prime is 105563182759. The reversal of 105563182749 is 947281365501.

It is not a de Polignac number, because 105563182749 - 2⁵ = 105563182717 is a prime.

It is a super-2 number, since 2×105563182749² (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 (105563182759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8222067 + ... + 8234895.

It is an arithmetic number, because the mean of its divisors is an integer number (8831915400).

It is a 1-persistent number, because it is pandigital, but 2⋅105563182749 = 211126365498 is not.

Almost surely, 2^105563182749 is an apocalyptic number.

It is an amenable number.

105563182749 is a deficient number, since it is larger than the sum of its proper divisors (35747463651).

105563182749 is a wasteful number, since it uses less digits than its factorization.

105563182749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23524.

The product of its (nonzero) digits is 1814400, while the sum is 51.

The spelling of 105563182749 in words is "one hundred five billion, five hundred sixty-three million, one hundred eighty-two thousand, seven hundred forty-nine".