103585073 has 2 divisors, whose sum is σ = 103585074. Its totient is φ = 103585072.

The previous prime is 103585067. The next prime is 103585171. The reversal of 103585073 is 370585301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 91833889 + 11751184 = 9583^2 + 3428^2 .

It is a cyclic number.

It is not a de Polignac number, because 103585073 - 2⁴ = 103585057 is a prime.

It is a super-3 number, since 3×103585073³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103515073) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51792536 + 51792537.

It is an arithmetic number, because the mean of its divisors is an integer number (51792537).

Almost surely, 2^103585073 is an apocalyptic number.

It is an amenable number.

103585073 is a deficient number, since it is larger than the sum of its proper divisors (1).

103585073 is an equidigital number, since it uses as much as digits as its factorization.

103585073 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12600, while the sum is 32.

The square root of 103585073 is about 10177.6752257085. The cubic root of 103585073 is about 469.6406986857.

The spelling of 103585073 in words is "one hundred three million, five hundred eighty-five thousand, seventy-three".