105561164041 has 4 divisors (see below), whose sum is σ = 111117014800. Its totient is φ = 100005313284.

The previous prime is 105561163993. The next prime is 105561164057. The reversal of 105561164041 is 140461165501.

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, and also an emirpimes, since its reverse is a distinct semiprime: 140461165501 = 44641 ⋅3146461.

It is a cyclic number.

It is not a de Polignac number, because 105561164041 - 2¹³ = 105561155849 is a prime.

It is a super-2 number, since 2×105561164041² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105561163988 and 105561164006.

It is not an unprimeable number, because it can be changed into a prime (105561164441) 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, 2777925351 + ... + 2777925388.

It is an arithmetic number, because the mean of its divisors is an integer number (27779253700).

Almost surely, 2^105561164041 is an apocalyptic number.

It is an amenable number.

105561164041 is a deficient number, since it is larger than the sum of its proper divisors (5555850759).

105561164041 is an equidigital number, since it uses as much as digits as its factorization.

105561164041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5555850758.

The product of its (nonzero) digits is 14400, while the sum is 34.

The spelling of 105561164041 in words is "one hundred five billion, five hundred sixty-one million, one hundred sixty-four thousand, forty-one".