105785213 has 2 divisors, whose sum is σ = 105785214. Its totient is φ = 105785212.

The previous prime is 105785153. The next prime is 105785221. The reversal of 105785213 is 312587501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 64850809 + 40934404 = 8053^2 + 6398^2 .

It is a cyclic number.

It is not a de Polignac number, because 105785213 - 2⁶ = 105785149 is a prime.

It is a super-2 number, since 2×105785213² = 22381022578910738, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105785213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105785233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52892606 + 52892607.

It is an arithmetic number, because the mean of its divisors is an integer number (52892607).

Almost surely, 2^105785213 is an apocalyptic number.

It is an amenable number.

105785213 is a deficient number, since it is larger than the sum of its proper divisors (1).

105785213 is an equidigital number, since it uses as much as digits as its factorization.

105785213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 105785213 is about 10285.1938727474. The cubic root of 105785213 is about 472.9424769921.

The spelling of 105785213 in words is "one hundred five million, seven hundred eighty-five thousand, two hundred thirteen".