105337093 has 2 divisors, whose sum is σ = 105337094. Its totient is φ = 105337092.

The previous prime is 105337081. The next prime is 105337097. The reversal of 105337093 is 390733501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105206049 + 131044 = 10257^2 + 362^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105337093 is a prime.

It is a super-2 number, since 2×105337093² = 22191806323381298, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105337097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52668546 + 52668547.

It is an arithmetic number, because the mean of its divisors is an integer number (52668547).

Almost surely, 2^105337093 is an apocalyptic number.

It is an amenable number.

105337093 is a deficient number, since it is larger than the sum of its proper divisors (1).

105337093 is an equidigital number, since it uses as much as digits as its factorization.

105337093 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8505, while the sum is 31.

The square root of 105337093 is about 10263.3860397044. The cubic root of 105337093 is about 472.2737163827.

The spelling of 105337093 in words is "one hundred five million, three hundred thirty-seven thousand, ninety-three".