105935858808 has 128 divisors (see below), whose sum is σ = 295379589120. Its totient is φ = 31440545280.

The previous prime is 105935858783. The next prime is 105935858813. The reversal of 105935858808 is 808858539501.

It is a super-2 number, since 2×105935858808² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 2951466 + ... + 2987142.

It is an arithmetic number, because the mean of its divisors is an integer number (2307653040).

Almost surely, 2^105935858808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105935858808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147689794560).

105935858808 is an abundant number, since it is smaller than the sum of its proper divisors (189443730312).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105935858808 is a wasteful number, since it uses less digits than its factorization.

105935858808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36037 (or 36033 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 60.

The spelling of 105935858808 in words is "one hundred five billion, nine hundred thirty-five million, eight hundred fifty-eight thousand, eight hundred eight".