105307663 has 2 divisors, whose sum is σ = 105307664. Its totient is φ = 105307662.

The previous prime is 105307649. The next prime is 105307667. The reversal of 105307663 is 366703501.

It is a strong prime.

It is an emirp because it is prime and its reverse (366703501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105307663 - 2⁹ = 105307151 is a prime.

It is a super-2 number, since 2×105307663² = 22179407773043138, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105307667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52653831 + 52653832.

It is an arithmetic number, because the mean of its divisors is an integer number (52653832).

Almost surely, 2^105307663 is an apocalyptic number.

105307663 is a deficient number, since it is larger than the sum of its proper divisors (1).

105307663 is an equidigital number, since it uses as much as digits as its factorization.

105307663 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 11340, while the sum is 31.

The square root of 105307663 is about 10261.9522021884. The cubic root of 105307663 is about 472.2297296297.

The spelling of 105307663 in words is "one hundred five million, three hundred seven thousand, six hundred sixty-three".