105407 has 2 divisors, whose sum is σ = 105408. Its totient is φ = 105406.

The previous prime is 105401. The next prime is 105437. The reversal of 105407 is 704501.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105407 - 2¹⁰ = 104383 is a prime.

It is a super-2 number, since 2×105407² = 22221271298, which contains 22 as substring.

It is a Chen prime.

It is a plaindrome in base 16.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52703 + 52704.

It is an arithmetic number, because the mean of its divisors is an integer number (52704).

2¹⁰⁵⁴⁰⁷ is an apocalyptic number.

105407 is a deficient number, since it is larger than the sum of its proper divisors (1).

105407 is an equidigital number, since it uses as much as digits as its factorization.

105407 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 140, while the sum is 17.

The square root of 105407 is about 324.6644421553. The cubic root of 105407 is about 47.2378168154.

Adding to 105407 its reverse (704501), we get a palindrome (809908).

It can be divided in two parts, 105 and 407, that added together give a 9-th power (512 = 2⁹).

The spelling of 105407 in words is "one hundred five thousand, four hundred seven".