100065137 has 2 divisors, whose sum is σ = 100065138. Its totient is φ = 100065136.

The previous prime is 100065107. The next prime is 100065149. The reversal of 100065137 is 731560001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82011136 + 18054001 = 9056^2 + 4249^2 .

It is a cyclic number.

It is not a de Polignac number, because 100065137 - 2¹⁰ = 100064113 is a prime.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (100065107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50032568 + 50032569.

It is an arithmetic number, because the mean of its divisors is an integer number (50032569).

Almost surely, 2^100065137 is an apocalyptic number.

It is an amenable number.

100065137 is a deficient number, since it is larger than the sum of its proper divisors (1).

100065137 is an equidigital number, since it uses as much as digits as its factorization.

100065137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 630, while the sum is 23.

The square root of 100065137 is about 10003.2563198191. The cubic root of 100065137 is about 464.2596412115.

The spelling of 100065137 in words is "one hundred million, sixty-five thousand, one hundred thirty-seven".