105827810913 has 24 divisors (see below), whose sum is σ = 166808940480. Its totient is φ = 64118849760.

The previous prime is 105827810863. The next prime is 105827810929. The reversal of 105827810913 is 319018728501.

It is not a de Polignac number, because 105827810913 - 2⁹ = 105827810401 is a prime.

It is a super-2 number, since 2×105827810913² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105827810213) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 175468 + ... + 492386.

It is an arithmetic number, because the mean of its divisors is an integer number (6950372520).

Almost surely, 2^105827810913 is an apocalyptic number.

It is an amenable number.

105827810913 is a deficient number, since it is larger than the sum of its proper divisors (60981129567).

105827810913 is a wasteful number, since it uses less digits than its factorization.

105827810913 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320309 (or 320306 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 105827810913 in words is "one hundred five billion, eight hundred twenty-seven million, eight hundred ten thousand, nine hundred thirteen".