105617241761 has 4 divisors (see below), whose sum is σ = 105745574592. Its totient is φ = 105488908932.

The previous prime is 105617241733. The next prime is 105617241869. The reversal of 105617241761 is 167142716501.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 105617241761 - 2¹⁸ = 105616979617 is a prime.

It is a super-2 number, since 2×105617241761² (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 (105617241061) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 64165181 + ... + 64166826.

It is an arithmetic number, because the mean of its divisors is an integer number (26436393648).

Almost surely, 2^105617241761 is an apocalyptic number.

It is an amenable number.

105617241761 is a deficient number, since it is larger than the sum of its proper divisors (128332831).

105617241761 is an equidigital number, since it uses as much as digits as its factorization.

105617241761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128332830.

The product of its (nonzero) digits is 70560, while the sum is 41.

The spelling of 105617241761 in words is "one hundred five billion, six hundred seventeen million, two hundred forty-one thousand, seven hundred sixty-one".