105656648832 has 384 divisors, whose sum is σ = 362488089600. Its totient is φ = 30007895040.

The previous prime is 105656648819. The next prime is 105656648849. The reversal of 105656648832 is 238846656501.

105656648832 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 566 + 48 + 8 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105656648832² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 47 ways as a sum of consecutive naturals, for example, 38971957 + ... + 38974667.

It is an arithmetic number, because the mean of its divisors is an integer number (943979400).

Almost surely, 2^105656648832 is an apocalyptic number.

105656648832 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105656648832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181244044800).

105656648832 is an abundant number, since it is smaller than the sum of its proper divisors (256831440768).

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

105656648832 is an equidigital number, since it uses as much as digits as its factorization.

105656648832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2926 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 54.

The spelling of 105656648832 in words is "one hundred five billion, six hundred fifty-six million, six hundred forty-eight thousand, eight hundred thirty-two".