105688728011 has 2 divisors, whose sum is σ = 105688728012. Its totient is φ = 105688728010.

The previous prime is 105688727987. The next prime is 105688728037. The reversal of 105688728011 is 110827886501.

It is a weak prime.

It is an emirp because it is prime and its reverse (110827886501) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105688728011 is a prime.

It is a super-2 number, since 2×105688728011² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105688728091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52844364005 + 52844364006.

It is an arithmetic number, because the mean of its divisors is an integer number (52844364006).

Almost surely, 2^105688728011 is an apocalyptic number.

105688728011 is a deficient number, since it is larger than the sum of its proper divisors (1).

105688728011 is an equidigital number, since it uses as much as digits as its factorization.

105688728011 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 215040, while the sum is 47.

The spelling of 105688728011 in words is "one hundred five billion, six hundred eighty-eight million, seven hundred twenty-eight thousand, eleven".