107008129 has 2 divisors, whose sum is σ = 107008130. Its totient is φ = 107008128.

The previous prime is 107008093. The next prime is 107008141. The reversal of 107008129 is 921800701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 66048129 + 40960000 = 8127^2 + 6400^2 .

It is an emirp because it is prime and its reverse (921800701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107008129 - 2⁹ = 107007617 is a prime.

It is a super-2 number, since 2×107008129² = 22901479344161282, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 107008097 and 107008106.

It is not a weakly prime, because it can be changed into another prime (107008189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53504064 + 53504065.

It is an arithmetic number, because the mean of its divisors is an integer number (53504065).

Almost surely, 2^107008129 is an apocalyptic number.

It is an amenable number.

107008129 is a deficient number, since it is larger than the sum of its proper divisors (1).

107008129 is an equidigital number, since it uses as much as digits as its factorization.

107008129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 107008129 is about 10344.4733553719. The cubic root of 107008129 is about 474.7579620082.

The spelling of 107008129 in words is "one hundred seven million, eight thousand, one hundred twenty-nine".