105842413 has 2 divisors, whose sum is σ = 105842414. Its totient is φ = 105842412.

The previous prime is 105842411. The next prime is 105842417. The reversal of 105842413 is 314248501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 82773604 + 23068809 = 9098^2 + 4803^2 .

It is a cyclic number.

It is not a de Polignac number, because 105842413 - 2¹ = 105842411 is a prime.

It is a super-2 number, since 2×105842413² = 22405232779325138, which contains 22 as substring.

Together with 105842411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105842411) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52921206 + 52921207.

It is an arithmetic number, because the mean of its divisors is an integer number (52921207).

Almost surely, 2^105842413 is an apocalyptic number.

It is an amenable number.

105842413 is a deficient number, since it is larger than the sum of its proper divisors (1).

105842413 is an equidigital number, since it uses as much as digits as its factorization.

105842413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 105842413 is about 10287.9741932025. The cubic root of 105842413 is about 473.0277045158.

The spelling of 105842413 in words is "one hundred five million, eight hundred forty-two thousand, four hundred thirteen".