107641813 has 2 divisors, whose sum is σ = 107641814. Its totient is φ = 107641812.

The previous prime is 107641799. The next prime is 107641837. The reversal of 107641813 is 318146701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 61496964 + 46144849 = 7842^2 + 6793^2 .

It is an emirp because it is prime and its reverse (318146701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 107641813 - 2²⁵ = 74087381 is a prime.

It is equal to p_6175651 and since 107641813 and 6175651 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (107641873) 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, 53820906 + 53820907.

It is an arithmetic number, because the mean of its divisors is an integer number (53820907).

Almost surely, 2^107641813 is an apocalyptic number.

It is an amenable number.

107641813 is a deficient number, since it is larger than the sum of its proper divisors (1).

107641813 is an equidigital number, since it uses as much as digits as its factorization.

107641813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4032, while the sum is 31.

The square root of 107641813 is about 10375.0572528541. The cubic root of 107641813 is about 475.6932635882.

The spelling of 107641813 in words is "one hundred seven million, six hundred forty-one thousand, eight hundred thirteen".