100682509 has 2 divisors, whose sum is σ = 100682510. Its totient is φ = 100682508.

The previous prime is 100682489. The next prime is 100682521. The reversal of 100682509 is 905286001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 79032100 + 21650409 = 8890^2 + 4653^2 .

It is a cyclic number.

It is not a de Polignac number, because 100682509 - 2¹³ = 100674317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100682579) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50341254 + 50341255.

It is an arithmetic number, because the mean of its divisors is an integer number (50341255).

Almost surely, 2^100682509 is an apocalyptic number.

It is an amenable number.

100682509 is a deficient number, since it is larger than the sum of its proper divisors (1).

100682509 is an equidigital number, since it uses as much as digits as its factorization.

100682509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4320, while the sum is 31.

The square root of 100682509 is about 10034.0674205429. The cubic root of 100682509 is about 465.2124654379.

The spelling of 100682509 in words is "one hundred million, six hundred eighty-two thousand, five hundred nine".