105125905109 has 2 divisors, whose sum is σ = 105125905110. Its totient is φ = 105125905108.

The previous prime is 105125905091. The next prime is 105125905127. The reversal of 105125905109 is 901509521501.

Together with previous prime (105125905091) it forms an Ormiston pair, because they use the same digits, order apart.

It is a balanced prime because it is at equal distance from previous prime (105125905091) and next prime (105125905127).

It can be written as a sum of positive squares in only one way, i.e., 97408282609 + 7717622500 = 312103^2 + 87850^2 .

It is a cyclic number.

It is not a de Polignac number, because 105125905109 - 2²⁰ = 105124856533 is a prime.

It is a super-2 number, since 2×105125905109² (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 (105125905139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52562952554 + 52562952555.

It is an arithmetic number, because the mean of its divisors is an integer number (52562952555).

Almost surely, 2^105125905109 is an apocalyptic number.

It is an amenable number.

105125905109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105125905109 is an equidigital number, since it uses as much as digits as its factorization.

105125905109 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20250, while the sum is 38.

The spelling of 105125905109 in words is "one hundred five billion, one hundred twenty-five million, nine hundred five thousand, one hundred nine".