105893555328 has 96 divisors (see below), whose sum is σ = 332421570000. Its totient is φ = 32088952320.

The previous prime is 105893555293. The next prime is 105893555333. The reversal of 105893555328 is 823555398501.

105893555328 is a `hidden beast` number, since 1 + 0 + 5 + 89 + 3 + 5 + 553 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105893555328² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4165578 + ... + 4190921.

Almost surely, 2^105893555328 is an apocalyptic number.

105893555328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105893555328 is an abundant number, since it is smaller than the sum of its proper divisors (226528014672).

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

105893555328 is a wasteful number, since it uses less digits than its factorization.

105893555328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8356530 (or 8356515 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 105893555328 in words is "one hundred five billion, eight hundred ninety-three million, five hundred fifty-five thousand, three hundred twenty-eight".