105204002264811 has 6 divisors (see below), whose sum is σ = 151961336604740. Its totient is φ = 70136001509868.

The previous prime is 105204002264773. The next prime is 105204002264849. The reversal of 105204002264811 is 118462200402501.

105204002264811 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 0 + 4 + 0 + 0 + 2 + 2 + 648 + 1 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (105204002264773) and next prime (105204002264849).

It is not a de Polignac number, because 105204002264811 - 2²¹ = 105204000167659 is a prime.

It is a super-2 number, since 2×105204002264811² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105204002214811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5844666792481 + ... + 5844666792498.

Almost surely, 2^{105204002264811} is an apocalyptic number.

105204002264811 is a deficient number, since it is larger than the sum of its proper divisors (46757334339929).

105204002264811 is a wasteful number, since it uses less digits than its factorization.

105204002264811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11689333584985 (or 11689333584982 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 105204002264811 in words is "one hundred five trillion, two hundred four billion, two million, two hundred sixty-four thousand, eight hundred eleven".