105240937 has 2 divisors, whose sum is σ = 105240938. Its totient is φ = 105240936.

The previous prime is 105240907. The next prime is 105240977. The reversal of 105240937 is 739042501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104939536 + 301401 = 10244^2 + 549^2 .

It is an emirp because it is prime and its reverse (739042501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105240937 - 2¹⁹ = 104716649 is a prime.

It is a super-2 number, since 2×105240937² = 22151309641275938, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105240899 and 105240908.

It is not a weakly prime, because it can be changed into another prime (105240907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52620468 + 52620469.

It is an arithmetic number, because the mean of its divisors is an integer number (52620469).

Almost surely, 2^105240937 is an apocalyptic number.

It is an amenable number.

105240937 is a deficient number, since it is larger than the sum of its proper divisors (1).

105240937 is an equidigital number, since it uses as much as digits as its factorization.

105240937 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 105240937 is about 10258.7005512394. The cubic root of 105240937 is about 472.1299690564.

The spelling of 105240937 in words is "one hundred five million, two hundred forty thousand, nine hundred thirty-seven".