105867647 has 2 divisors, whose sum is σ = 105867648. Its totient is φ = 105867646.

The previous prime is 105867637. The next prime is 105867649. The reversal of 105867647 is 746768501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105867647 - 2⁴ = 105867631 is a prime.

It is a super-2 number, since 2×105867647² = 22415917362633218, which contains 22 as substring.

Together with 105867649, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 105867598 and 105867607.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105867649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52933823 + 52933824.

It is an arithmetic number, because the mean of its divisors is an integer number (52933824).

Almost surely, 2^105867647 is an apocalyptic number.

105867647 is a deficient number, since it is larger than the sum of its proper divisors (1).

105867647 is an equidigital number, since it uses as much as digits as its factorization.

105867647 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 105867647 is about 10289.2005034405. The cubic root of 105867647 is about 473.0652932048.

The spelling of 105867647 in words is "one hundred five million, eight hundred sixty-seven thousand, six hundred forty-seven".