105487337 has 2 divisors, whose sum is σ = 105487338. Its totient is φ = 105487336.

The previous prime is 105487321. The next prime is 105487441. The reversal of 105487337 is 733784501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 105349696 + 137641 = 10264^2 + 371^2 .

It is an emirp because it is prime and its reverse (733784501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105487337 - 2⁴ = 105487321 is a prime.

It is a super-2 number, since 2×105487337² = 22255156534703138, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105487337.

It is not a weakly prime, because it can be changed into another prime (105487307) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52743668 + 52743669.

It is an arithmetic number, because the mean of its divisors is an integer number (52743669).

Almost surely, 2^105487337 is an apocalyptic number.

It is an amenable number.

105487337 is a deficient number, since it is larger than the sum of its proper divisors (1).

105487337 is an equidigital number, since it uses as much as digits as its factorization.

105487337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 70560, while the sum is 38.

The square root of 105487337 is about 10270.7028483936. The cubic root of 105487337 is about 472.4981469278.

The spelling of 105487337 in words is "one hundred five million, four hundred eighty-seven thousand, three hundred thirty-seven".