103605137 has 2 divisors, whose sum is σ = 103605138. Its totient is φ = 103605136.

The previous prime is 103605113. The next prime is 103605163. The reversal of 103605137 is 731506301.

It is a happy number.

It is an a-pointer prime, because the next prime (103605163) can be obtained adding 103605137 to its sum of digits (26).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 66650896 + 36954241 = 8164^2 + 6079^2 .

It is a cyclic number.

It is not a de Polignac number, because 103605137 - 2⁸ = 103604881 is a prime.

It is a super-3 number, since 3×103605137³ (a number of 25 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (103605107) 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, 51802568 + 51802569.

It is an arithmetic number, because the mean of its divisors is an integer number (51802569).

Almost surely, 2^103605137 is an apocalyptic number.

It is an amenable number.

103605137 is a deficient number, since it is larger than the sum of its proper divisors (1).

103605137 is an equidigital number, since it uses as much as digits as its factorization.

103605137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 26.

The square root of 103605137 is about 10178.6608647700. The cubic root of 103605137 is about 469.6710192148.

The spelling of 103605137 in words is "one hundred three million, six hundred five thousand, one hundred thirty-seven".