105871184689 has 2 divisors, whose sum is σ = 105871184690. Its totient is φ = 105871184688.

The previous prime is 105871184611. The next prime is 105871184777. The reversal of 105871184689 is 986481178501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103614459664 + 2256725025 = 321892^2 + 47505^2 .

It is a cyclic number.

It is not a de Polignac number, because 105871184689 - 2²⁵ = 105837630257 is a prime.

It is a super-2 number, since 2×105871184689² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105871187689) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52935592344 + 52935592345.

It is an arithmetic number, because the mean of its divisors is an integer number (52935592345).

Almost surely, 2^105871184689 is an apocalyptic number.

It is an amenable number.

105871184689 is a deficient number, since it is larger than the sum of its proper divisors (1).

105871184689 is an equidigital number, since it uses as much as digits as its factorization.

105871184689 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 3870720, while the sum is 58.

The spelling of 105871184689 in words is "one hundred five billion, eight hundred seventy-one million, one hundred eighty-four thousand, six hundred eighty-nine".