1005106105561 has 4 divisors (see below), whose sum is σ = 1014000849972. Its totient is φ = 996211361152.

The previous prime is 1005106105519. The next prime is 1005106105567. The reversal of 1005106105561 is 1655016015001.

1005106105561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It can be written as a sum of positive squares in 2 ways, for example, as 19366897225 + 985739208336 = 139165^2 + 992844^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005106105561 - 2¹¹ = 1005106103513 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005106105567) 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, 4447372036 + ... + 4447372261.

It is an arithmetic number, because the mean of its divisors is an integer number (253500212493).

Almost surely, 2^{1005106105561} is an apocalyptic number.

It is an amenable number.

1005106105561 is a deficient number, since it is larger than the sum of its proper divisors (8894744411).

1005106105561 is an equidigital number, since it uses as much as digits as its factorization.

1005106105561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8894744410.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 1005106105561 in words is "one trillion, five billion, one hundred six million, one hundred five thousand, five hundred sixty-one".