105284917 has 2 divisors, whose sum is σ = 105284918. Its totient is φ = 105284916.

The previous prime is 105284887. The next prime is 105284929. The reversal of 105284917 is 719482501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97634161 + 7650756 = 9881^2 + 2766^2 .

It is a cyclic number.

It is not a de Polignac number, because 105284917 - 2⁷ = 105284789 is a prime.

It is a super-2 number, since 2×105284917² = 22169827495393778, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105284617) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52642458 + 52642459.

It is an arithmetic number, because the mean of its divisors is an integer number (52642459).

Almost surely, 2^105284917 is an apocalyptic number.

It is an amenable number.

105284917 is a deficient number, since it is larger than the sum of its proper divisors (1).

105284917 is an equidigital number, since it uses as much as digits as its factorization.

105284917 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 105284917 is about 10260.8438736782. The cubic root of 105284917 is about 472.1957273214.

The spelling of 105284917 in words is "one hundred five million, two hundred eighty-four thousand, nine hundred seventeen".