105125905091 has 2 divisors, whose sum is σ = 105125905092. Its totient is φ = 105125905090.

The previous prime is 105125905069. The next prime is 105125905109. The reversal of 105125905091 is 190509521501.

Together with next prime (105125905109) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105125905091 - 2²² = 105121710787 is a prime.

It is a super-2 number, since 2×105125905091² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105125905051) 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, 52562952545 + 52562952546.

It is an arithmetic number, because the mean of its divisors is an integer number (52562952546).

Almost surely, 2^105125905091 is an apocalyptic number.

105125905091 is a deficient number, since it is larger than the sum of its proper divisors (1).

105125905091 is an equidigital number, since it uses as much as digits as its factorization.

105125905091 is an odious number, because the sum of its binary digits is odd.

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

The spelling of 105125905091 in words is "one hundred five billion, one hundred twenty-five million, nine hundred five thousand, ninety-one".