105267661563 has 4 divisors (see below), whose sum is σ = 140356882088. Its totient is φ = 70178441040.

The previous prime is 105267661537. The next prime is 105267661571. The reversal of 105267661563 is 365166762501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 365166762501 = 3 ⋅121722254167.

It is not a de Polignac number, because 105267661563 - 2⁵ = 105267661531 is a prime.

It is a super-2 number, since 2×105267661563² (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 (105267661363) 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 3 ways as a sum of consecutive naturals, for example, 17544610258 + ... + 17544610263.

It is an arithmetic number, because the mean of its divisors is an integer number (35089220522).

Almost surely, 2^105267661563 is an apocalyptic number.

105267661563 is a deficient number, since it is larger than the sum of its proper divisors (35089220525).

105267661563 is an equidigital number, since it uses as much as digits as its factorization.

105267661563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35089220524.

The product of its (nonzero) digits is 1360800, while the sum is 48.

The spelling of 105267661563 in words is "one hundred five billion, two hundred sixty-seven million, six hundred sixty-one thousand, five hundred sixty-three".