105752947 has 2 divisors, whose sum is σ = 105752948. Its totient is φ = 105752946.

The previous prime is 105752909. The next prime is 105752987. The reversal of 105752947 is 749257501.

It is an a-pointer prime, because the next prime (105752987) can be obtained adding 105752947 to its sum of digits (40).

It is a weak prime.

It is an emirp because it is prime and its reverse (749257501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105752947 - 2¹¹ = 105750899 is a prime.

It is a super-2 number, since 2×105752947² = 22367371598369618, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105752987) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52876473 + 52876474.

It is an arithmetic number, because the mean of its divisors is an integer number (52876474).

Almost surely, 2^105752947 is an apocalyptic number.

105752947 is a deficient number, since it is larger than the sum of its proper divisors (1).

105752947 is an equidigital number, since it uses as much as digits as its factorization.

105752947 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 88200, while the sum is 40.

The square root of 105752947 is about 10283.6251876466. The cubic root of 105752947 is about 472.8943873669.

The spelling of 105752947 in words is "one hundred five million, seven hundred fifty-two thousand, nine hundred forty-seven".