105252937 has 2 divisors, whose sum is σ = 105252938. Its totient is φ = 105252936.

The previous prime is 105252911. The next prime is 105253019. The reversal of 105252937 is 739252501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 94070601 + 11182336 = 9699^2 + 3344^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105252937 is a prime.

It is a super-2 number, since 2×105252937² = 22156361494251938, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105252137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52626468 + 52626469.

It is an arithmetic number, because the mean of its divisors is an integer number (52626469).

Almost surely, 2^105252937 is an apocalyptic number.

It is an amenable number.

105252937 is a deficient number, since it is larger than the sum of its proper divisors (1).

105252937 is an equidigital number, since it uses as much as digits as its factorization.

105252937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 105252937 is about 10259.2854039645. The cubic root of 105252937 is about 472.1479131013.

The spelling of 105252937 in words is "one hundred five million, two hundred fifty-two thousand, nine hundred thirty-seven".