105006010511 has 2 divisors, whose sum is σ = 105006010512. Its totient is φ = 105006010510.

The previous prime is 105006010433. The next prime is 105006010541. The reversal of 105006010511 is 115010600501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105006010511 - 2¹⁴ = 105005994127 is a prime.

It is a super-2 number, since 2×105006010511² (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 (105006010541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52503005255 + 52503005256.

It is an arithmetic number, because the mean of its divisors is an integer number (52503005256).

Almost surely, 2^105006010511 is an apocalyptic number.

105006010511 is a deficient number, since it is larger than the sum of its proper divisors (1).

105006010511 is an equidigital number, since it uses as much as digits as its factorization.

105006010511 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 150, while the sum is 20.

The spelling of 105006010511 in words is "one hundred five billion, six million, ten thousand, five hundred eleven".