105738566617 has 8 divisors (see below), whose sum is σ = 105925712256. Its totient is φ = 105551536992.

The previous prime is 105738566581. The next prime is 105738566683. The reversal of 105738566617 is 716665837501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105738566617 - 2¹⁹ = 105738042329 is a prime.

It is a super-2 number, since 2×105738566617² (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 (105738516617) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1908693 + ... + 1963309.

It is an arithmetic number, because the mean of its divisors is an integer number (13240714032).

Almost surely, 2^105738566617 is an apocalyptic number.

It is an amenable number.

105738566617 is a deficient number, since it is larger than the sum of its proper divisors (187145639).

105738566617 is an equidigital number, since it uses as much as digits as its factorization.

105738566617 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58007.

The product of its (nonzero) digits is 6350400, while the sum is 55.

The spelling of 105738566617 in words is "one hundred five billion, seven hundred thirty-eight million, five hundred sixty-six thousand, six hundred seventeen".