105689867019 has 32 divisors (see below), whose sum is σ = 158794598400. Its totient is φ = 61947244800.

The previous prime is 105689867009. The next prime is 105689867021. The reversal of 105689867019 is 910768986501.

It is not a de Polignac number, because 105689867019 - 2⁵ = 105689866987 is a prime.

It is a super-2 number, since 2×105689867019² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105689867009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1551279 + ... + 1617975.

It is an arithmetic number, because the mean of its divisors is an integer number (4962331200).

Almost surely, 2^105689867019 is an apocalyptic number.

105689867019 is a deficient number, since it is larger than the sum of its proper divisors (53104731381).

105689867019 is a wasteful number, since it uses less digits than its factorization.

105689867019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68291.

The product of its (nonzero) digits is 6531840, while the sum is 60.

The spelling of 105689867019 in words is "one hundred five billion, six hundred eighty-nine million, eight hundred sixty-seven thousand, nineteen".