105011747821 has 2 divisors, whose sum is σ = 105011747822. Its totient is φ = 105011747820.

The previous prime is 105011747803. The next prime is 105011747873. The reversal of 105011747821 is 128747110501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85246480900 + 19765266921 = 291970^2 + 140589^2 .

It is an emirp because it is prime and its reverse (128747110501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105011747821 is a prime.

It is a super-2 number, since 2×105011747821² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105011747801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52505873910 + 52505873911.

It is an arithmetic number, because the mean of its divisors is an integer number (52505873911).

Almost surely, 2^105011747821 is an apocalyptic number.

It is an amenable number.

105011747821 is a deficient number, since it is larger than the sum of its proper divisors (1).

105011747821 is an equidigital number, since it uses as much as digits as its factorization.

105011747821 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15680, while the sum is 37.

The spelling of 105011747821 in words is "one hundred five billion, eleven million, seven hundred forty-seven thousand, eight hundred twenty-one".