105872005301 has 2 divisors, whose sum is σ = 105872005302. Its totient is φ = 105872005300.

The previous prime is 105872005297. The next prime is 105872005303. The reversal of 105872005301 is 103500278501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 92310238276 + 13561767025 = 303826^2 + 116455^2 .

It is a cyclic number.

It is not a de Polignac number, because 105872005301 - 2² = 105872005297 is a prime.

It is a super-2 number, since 2×105872005301² (a number of 23 digits) contains 22 as substring.

Together with 105872005303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105872005303) 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, 52936002650 + 52936002651.

It is an arithmetic number, because the mean of its divisors is an integer number (52936002651).

Almost surely, 2^105872005301 is an apocalyptic number.

It is an amenable number.

105872005301 is a deficient number, since it is larger than the sum of its proper divisors (1).

105872005301 is an equidigital number, since it uses as much as digits as its factorization.

105872005301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The spelling of 105872005301 in words is "one hundred five billion, eight hundred seventy-two million, five thousand, three hundred one".