107310829 has 2 divisors, whose sum is σ = 107310830. Its totient is φ = 107310828.

The previous prime is 107310787. The next prime is 107310839. The reversal of 107310829 is 928013701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 97713225 + 9597604 = 9885^2 + 3098^2 .

It is an emirp because it is prime and its reverse (928013701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107310829 - 2⁹ = 107310317 is a prime.

It is a super-2 number, since 2×107310829² = 23031228041334482, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107310829.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107310839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53655414 + 53655415.

It is an arithmetic number, because the mean of its divisors is an integer number (53655415).

Almost surely, 2^107310829 is an apocalyptic number.

It is an amenable number.

107310829 is a deficient number, since it is larger than the sum of its proper divisors (1).

107310829 is an equidigital number, since it uses as much as digits as its factorization.

107310829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3024, while the sum is 31.

The square root of 107310829 is about 10359.0940240930. The cubic root of 107310829 is about 475.2051988764.

The spelling of 107310829 in words is "one hundred seven million, three hundred ten thousand, eight hundred twenty-nine".