105758675328 has 32 divisors (see below), whose sum is σ = 280921482360. Its totient is φ = 35252891648.

The previous prime is 105758675291. The next prime is 105758675377. The reversal of 105758675328 is 823576857501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105758675328² (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 3 ways as a sum of consecutive naturals, for example, 137706225 + ... + 137706992.

Almost surely, 2^105758675328 is an apocalyptic number.

It is an amenable number.

105758675328 is an abundant number, since it is smaller than the sum of its proper divisors (175162807032).

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

105758675328 is an equidigital number, since it uses as much as digits as its factorization.

105758675328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275413234 (or 275413222 counting only the distinct ones).

The product of its (nonzero) digits is 14112000, while the sum is 57.

The spelling of 105758675328 in words is "one hundred five billion, seven hundred fifty-eight million, six hundred seventy-five thousand, three hundred twenty-eight".