105745307 has 2 divisors, whose sum is σ = 105745308. Its totient is φ = 105745306.

The previous prime is 105745267. The next prime is 105745319. The reversal of 105745307 is 703547501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105745307 - 2⁶ = 105745243 is a prime.

It is a super-2 number, since 2×105745307² = 22364139905048498, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105745327) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52872653 + 52872654.

It is an arithmetic number, because the mean of its divisors is an integer number (52872654).

Almost surely, 2^105745307 is an apocalyptic number.

105745307 is a deficient number, since it is larger than the sum of its proper divisors (1).

105745307 is an equidigital number, since it uses as much as digits as its factorization.

105745307 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 32.

The square root of 105745307 is about 10283.2537166016. The cubic root of 105745307 is about 472.8829991890.

It can be divided in two parts, 1057 and 45307, that added together give a palindrome (46364).

The spelling of 105745307 in words is "one hundred five million, seven hundred forty-five thousand, three hundred seven".