105105901 has 2 divisors, whose sum is σ = 105105902. Its totient is φ = 105105900.

The previous prime is 105105893. The next prime is 105105983. The reversal of 105105901 is 109501501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 96550276 + 8555625 = 9826^2 + 2925^2 .

It is a cyclic number.

It is not a de Polignac number, because 105105901 - 2³ = 105105893 is a prime.

It is a super-2 number, since 2×105105901² = 22094500850043602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105105401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52552950 + 52552951.

It is an arithmetic number, because the mean of its divisors is an integer number (52552951).

Almost surely, 2^105105901 is an apocalyptic number.

It is an amenable number.

105105901 is a deficient number, since it is larger than the sum of its proper divisors (1).

105105901 is an equidigital number, since it uses as much as digits as its factorization.

105105901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 225, while the sum is 22.

The square root of 105105901 is about 10252.1169033522. The cubic root of 105105901 is about 471.9279506155.

The spelling of 105105901 in words is "one hundred five million, one hundred five thousand, nine hundred one".