105000005561 has 6 divisors (see below), whose sum is σ = 115413229386. Its totient is φ = 95454550400.

The previous prime is 105000005533. The next prime is 105000005597. The reversal of 105000005561 is 165500000501.

It can be written as a sum of positive squares in only one way, i.e., 92708070400 + 12291935161 = 304480^2 + 110869^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105000005561 is a prime.

It is a super-2 number, since 2×105000005561² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105000002561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 433884200 + ... + 433884441.

It is an arithmetic number, because the mean of its divisors is an integer number (19235538231).

Almost surely, 2^105000005561 is an apocalyptic number.

105000005561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105000005561 is a deficient number, since it is larger than the sum of its proper divisors (10413223825).

105000005561 is an equidigital number, since it uses as much as digits as its factorization.

105000005561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867768663 (or 867768652 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

The spelling of 105000005561 in words is "one hundred five billion, five thousand, five hundred sixty-one".