105783530357832 has 32 divisors (see below), whose sum is σ = 265303742290080. Its totient is φ = 35148521266560.

The previous prime is 105783530357807. The next prime is 105783530357851. The reversal of 105783530357832 is 238753035387501.

It is a super-3 number, since 3×105783530357832³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7040962294 + ... + 7040977317.

It is an arithmetic number, because the mean of its divisors is an integer number (8290741946565).

Almost surely, 2^{105783530357832} is an apocalyptic number.

105783530357832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105783530357832 is an abundant number, since it is smaller than the sum of its proper divisors (159520211932248).

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

105783530357832 is a wasteful number, since it uses less digits than its factorization.

105783530357832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14081939933 (or 14081939929 counting only the distinct ones).

The product of its (nonzero) digits is 63504000, while the sum is 60.

The spelling of 105783530357832 in words is "one hundred five trillion, seven hundred eighty-three billion, five hundred thirty million, three hundred fifty-seven thousand, eight hundred thirty-two".