105415133 has 2 divisors, whose sum is σ = 105415134. Its totient is φ = 105415132.

The previous prime is 105415117. The next prime is 105415153. The reversal of 105415133 is 331514501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105411289 + 3844 = 10267^2 + 62^2 .

It is a cyclic number.

It is not a de Polignac number, because 105415133 - 2⁴ = 105415117 is a prime.

It is a super-2 number, since 2×105415133² = 22224700530815378, which contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105415099 and 105415108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105415103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52707566 + 52707567.

It is an arithmetic number, because the mean of its divisors is an integer number (52707567).

Almost surely, 2^105415133 is an apocalyptic number.

It is an amenable number.

105415133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105415133 is an equidigital number, since it uses as much as digits as its factorization.

105415133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 105415133 is about 10267.1872000076. The cubic root of 105415133 is about 472.3903171032.

Adding to 105415133 its reverse (331514501), we get a palindrome (436929634).

The spelling of 105415133 in words is "one hundred five million, four hundred fifteen thousand, one hundred thirty-three".