1051105005067 has 12 divisors (see below), whose sum is σ = 1138963468104. Its totient is φ = 969581870400.

The previous prime is 1051105005061. The next prime is 1051105005073. The reversal of 1051105005067 is 7605005011501.

It is an interprime number because it is at equal distance from previous prime (1051105005061) and next prime (1051105005073).

It is a de Polignac number, because none of the positive numbers 2^k-1051105005067 is a prime.

It is a super-3 number, since 3×1051105005067³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1051105005061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1897978 + ... + 2388415.

It is an arithmetic number, because the mean of its divisors is an integer number (94913622342).

Almost surely, 2^{1051105005067} is an apocalyptic number.

1051105005067 is a deficient number, since it is larger than the sum of its proper divisors (87858463037).

1051105005067 is a wasteful number, since it uses less digits than its factorization.

1051105005067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4287870 (or 4287857 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 31.

The spelling of 1051105005067 in words is "one trillion, fifty-one billion, one hundred five million, five thousand, sixty-seven".