105852737 has 2 divisors, whose sum is σ = 105852738. Its totient is φ = 105852736.

The previous prime is 105852707. The next prime is 105852749. The reversal of 105852737 is 737258501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 101687056 + 4165681 = 10084^2 + 2041^2 .

It is a cyclic number.

It is not a de Polignac number, because 105852737 - 2⁶ = 105852673 is a prime.

It is a super-2 number, since 2×105852737² = 22409603860782338, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 105852737.

It is not a weakly prime, because it can be changed into another prime (105852707) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52926368 + 52926369.

It is an arithmetic number, because the mean of its divisors is an integer number (52926369).

Almost surely, 2^105852737 is an apocalyptic number.

It is an amenable number.

105852737 is a deficient number, since it is larger than the sum of its proper divisors (1).

105852737 is an equidigital number, since it uses as much as digits as its factorization.

105852737 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 58800, while the sum is 38.

The square root of 105852737 is about 10288.4759318375. The cubic root of 105852737 is about 473.0430839184.

The spelling of 105852737 in words is "one hundred five million, eight hundred fifty-two thousand, seven hundred thirty-seven".