103585901 has 2 divisors, whose sum is σ = 103585902. Its totient is φ = 103585900.

The previous prime is 103585877. The next prime is 103585921. The reversal of 103585901 is 109585301.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 103510276 + 75625 = 10174^2 + 275^2 .

It is a cyclic number.

It is not a de Polignac number, because 103585901 - 2¹⁸ = 103323757 is a prime.

It is a super-3 number, since 3×103585901³ (a number of 25 digits) contains 333 as substring.

It is equal to p_5956025 and since 103585901 and 5956025 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103585921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51792950 + 51792951.

It is an arithmetic number, because the mean of its divisors is an integer number (51792951).

Almost surely, 2^103585901 is an apocalyptic number.

It is an amenable number.

103585901 is a deficient number, since it is larger than the sum of its proper divisors (1).

103585901 is an equidigital number, since it uses as much as digits as its factorization.

103585901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5400, while the sum is 32.

The square root of 103585901 is about 10177.7159028929. The cubic root of 103585901 is about 469.6419500290.

The spelling of 103585901 in words is "one hundred three million, five hundred eighty-five thousand, nine hundred one".