105535093 has 2 divisors, whose sum is σ = 105535094. Its totient is φ = 105535092.

The previous prime is 105535057. The next prime is 105535097. The reversal of 105535093 is 390535501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 89075844 + 16459249 = 9438^2 + 4057^2 .

It is a cyclic number.

It is not a de Polignac number, because 105535093 - 2¹⁷ = 105404021 is a prime.

It is a super-2 number, since 2×105535093² = 22275311709037298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105535097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52767546 + 52767547.

It is an arithmetic number, because the mean of its divisors is an integer number (52767547).

Almost surely, 2^105535093 is an apocalyptic number.

It is an amenable number.

105535093 is a deficient number, since it is larger than the sum of its proper divisors (1).

105535093 is an equidigital number, since it uses as much as digits as its factorization.

105535093 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10125, while the sum is 31.

The square root of 105535093 is about 10273.0274505620. The cubic root of 105535093 is about 472.5694389516.

The spelling of 105535093 in words is "one hundred five million, five hundred thirty-five thousand, ninety-three".