105835785809 has 8 divisors (see below), whose sum is σ = 114796980480. Its totient is φ = 96991731216.

The previous prime is 105835785787. The next prime is 105835785821. The reversal of 105835785809 is 908587538501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105835785809 - 2⁸ = 105835785553 is a prime.

It is a super-2 number, since 2×105835785809² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105835785889) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 29283137 + ... + 29286750.

It is an arithmetic number, because the mean of its divisors is an integer number (14349622560).

Almost surely, 2^105835785809 is an apocalyptic number.

It is an amenable number.

105835785809 is a deficient number, since it is larger than the sum of its proper divisors (8961194671).

105835785809 is a wasteful number, since it uses less digits than its factorization.

105835785809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58570039.

The product of its (nonzero) digits is 12096000, while the sum is 59.

The spelling of 105835785809 in words is "one hundred five billion, eight hundred thirty-five million, seven hundred eighty-five thousand, eight hundred nine".