105321749567 has 4 divisors (see below), whose sum is σ = 105323193696. Its totient is φ = 105320305440.

The previous prime is 105321749557. The next prime is 105321749587. The reversal of 105321749567 is 765947123501.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 105321749567 - 2¹⁶ = 105321684031 is a prime.

It is a super-2 number, since 2×105321749567² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105321749557) 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 3 ways as a sum of consecutive naturals, for example, 606503 + ... + 760584.

It is an arithmetic number, because the mean of its divisors is an integer number (26330798424).

Almost surely, 2^105321749567 is an apocalyptic number.

105321749567 is a deficient number, since it is larger than the sum of its proper divisors (1444129).

105321749567 is an equidigital number, since it uses as much as digits as its factorization.

105321749567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1444128.

The product of its (nonzero) digits is 1587600, while the sum is 50.

The spelling of 105321749567 in words is "one hundred five billion, three hundred twenty-one million, seven hundred forty-nine thousand, five hundred sixty-seven".