105555113 has 2 divisors, whose sum is σ = 105555114. Its totient is φ = 105555112.

The previous prime is 105555103. The next prime is 105555133. The reversal of 105555113 is 311555501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66455104 + 39100009 = 8152^2 + 6253^2 .

It is an emirp because it is prime and its reverse (311555501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105555113 - 2⁶ = 105555049 is a prime.

It is a super-2 number, since 2×105555113² = 22283763760885538, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105555103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52777556 + 52777557.

It is an arithmetic number, because the mean of its divisors is an integer number (52777557).

Almost surely, 2^105555113 is an apocalyptic number.

It is an amenable number.

105555113 is a deficient number, since it is larger than the sum of its proper divisors (1).

105555113 is an equidigital number, since it uses as much as digits as its factorization.

105555113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1875, while the sum is 26.

The square root of 105555113 is about 10274.0018006617. The cubic root of 105555113 is about 472.5993191924.

The spelling of 105555113 in words is "one hundred five million, five hundred fifty-five thousand, one hundred thirteen".