105051920106109 has 2 divisors, whose sum is σ = 105051920106110. Its totient is φ = 105051920106108.

The previous prime is 105051920106097. The next prime is 105051920106121. The reversal of 105051920106109 is 901601029150501.

It is a balanced prime because it is at equal distance from previous prime (105051920106097) and next prime (105051920106121).

It can be written as a sum of positive squares in only one way, i.e., 102007778012100 + 3044142094009 = 10099890^2 + 1744747^2 .

It is a cyclic number.

It is not a de Polignac number, because 105051920106109 - 2³³ = 105043330171517 is a prime.

It is a super-2 number, since 2×105051920106109² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105051920106139) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525960053054 + 52525960053055.

It is an arithmetic number, because the mean of its divisors is an integer number (52525960053055).

Almost surely, 2^{105051920106109} is an apocalyptic number.

It is an amenable number.

105051920106109 is a deficient number, since it is larger than the sum of its proper divisors (1).

105051920106109 is an equidigital number, since it uses as much as digits as its factorization.

105051920106109 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24300, while the sum is 40.

The spelling of 105051920106109 in words is "one hundred five trillion, fifty-one billion, nine hundred twenty million, one hundred six thousand, one hundred nine".