105600011328 has 126 divisors (see below), whose sum is σ = 352101152286. Its totient is φ = 30171423744.

The previous prime is 105600011303. The next prime is 105600011339. The reversal of 105600011328 is 823110006501.

105600011328 is a `hidden beast` number, since 10 + 5 + 600 + 0 + 11 + 32 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 102318096384 + 3281914944 = 319872^2 + 57288^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×105600011328² (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 (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1842525 + ... + 1898972.

Almost surely, 2^105600011328 is an apocalyptic number.

105600011328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

105600011328 is an abundant number, since it is smaller than the sum of its proper divisors (246501140958).

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

105600011328 is a wasteful number, since it uses less digits than its factorization.

105600011328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3741529 (or 3741509 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 105600011328 its reverse (823110006501), we get a palindrome (928710017829).

The spelling of 105600011328 in words is "one hundred five billion, six hundred million, eleven thousand, three hundred twenty-eight".