105005560501 has 2 divisors, whose sum is σ = 105005560502. Its totient is φ = 105005560500.

The previous prime is 105005560489. The next prime is 105005560529. The reversal of 105005560501 is 105065500501.

It is an a-pointer prime, because the next prime (105005560529) can be obtained adding 105005560501 to its sum of digits (28).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 83983460401 + 21022100100 = 289799^2 + 144990^2 .

It is a cyclic number.

It is not a de Polignac number, because 105005560501 - 2⁵ = 105005560469 is a prime.

It is a super-2 number, since 2×105005560501² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105005560501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105005560201) 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, 52502780250 + 52502780251.

It is an arithmetic number, because the mean of its divisors is an integer number (52502780251).

Almost surely, 2^105005560501 is an apocalyptic number.

It is an amenable number.

105005560501 is a deficient number, since it is larger than the sum of its proper divisors (1).

105005560501 is an equidigital number, since it uses as much as digits as its factorization.

105005560501 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3750, while the sum is 28.

The spelling of 105005560501 in words is "one hundred five billion, five million, five hundred sixty thousand, five hundred one".