105772052643 has 4 divisors (see below), whose sum is σ = 141029403528. Its totient is φ = 70514701760.

The previous prime is 105772052629. The next prime is 105772052647. The reversal of 105772052643 is 346250277501.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 346250277501 = 3 ⋅115416759167.

It is a cyclic number.

It is not a de Polignac number, because 105772052643 - 2⁴ = 105772052627 is a prime.

It is a super-2 number, since 2×105772052643² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105772052595 and 105772052604.

It is not an unprimeable number, because it can be changed into a prime (105772052647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17628675438 + ... + 17628675443.

It is an arithmetic number, because the mean of its divisors is an integer number (35257350882).

Almost surely, 2^105772052643 is an apocalyptic number.

105772052643 is a deficient number, since it is larger than the sum of its proper divisors (35257350885).

105772052643 is an equidigital number, since it uses as much as digits as its factorization.

105772052643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35257350884.

The product of its (nonzero) digits is 352800, while the sum is 42.

The spelling of 105772052643 in words is "one hundred five billion, seven hundred seventy-two million, fifty-two thousand, six hundred forty-three".