105867407 has 2 divisors, whose sum is σ = 105867408. Its totient is φ = 105867406.

The previous prime is 105867401. The next prime is 105867409. The reversal of 105867407 is 704768501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105867407 - 2¹⁴ = 105851023 is a prime.

It is a super-2 number, since 2×105867407² = 22415815729807298, which contains 22 as substring.

Together with 105867409, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105867401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52933703 + 52933704.

It is an arithmetic number, because the mean of its divisors is an integer number (52933704).

Almost surely, 2^105867407 is an apocalyptic number.

105867407 is a deficient number, since it is larger than the sum of its proper divisors (1).

105867407 is an equidigital number, since it uses as much as digits as its factorization.

105867407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47040, while the sum is 38.

The square root of 105867407 is about 10289.1888407201. The cubic root of 105867407 is about 473.0649357278.

The spelling of 105867407 in words is "one hundred five million, eight hundred sixty-seven thousand, four hundred seven".