105835785808 has 40 divisors (see below), whose sum is σ = 208449057960. Its totient is φ = 52049571840.

The previous prime is 105835785787. The next prime is 105835785821. The reversal of 105835785808 is 808587538501.

It can be written as a sum of positive squares in 4 ways, for example, as 2941109824 + 102894675984 = 54232^2 + 320772^2 .

It is a super-2 number, since 2×105835785808² (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 7 ways as a sum of consecutive naturals, for example, 17448 + ... + 460408.

It is an arithmetic number, because the mean of its divisors is an integer number (5211226449).

Almost surely, 2^105835785808 is an apocalyptic number.

It is an amenable number.

105835785808 is a deficient number, since it is larger than the sum of its proper divisors (102613272152).

105835785808 is a wasteful number, since it uses less digits than its factorization.

105835785808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443215 (or 443209 counting only the distinct ones).

The product of its (nonzero) digits is 10752000, while the sum is 58.

The spelling of 105835785808 in words is "one hundred five billion, eight hundred thirty-five million, seven hundred eighty-five thousand, eight hundred eight".