105484646656 has 81 divisors (see below), whose sum is σ = 215166769489. Its totient is φ = 51612075008.

The previous prime is 105484646629. The next prime is 105484646693. The reversal of 105484646656 is 656646484501.

The square root of 105484646656 is 324784.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 76043577600 + 29441069056 = 275760^2 + 171584^2 .

It is a super-2 number, since 2×105484646656² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105484646597 and 105484646606.

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 8 ways as a sum of consecutive naturals, for example, 275416641 + ... + 275417023.

Almost surely, 2^105484646656 is an apocalyptic number.

105484646656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

105484646656 is the 324784-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105484646656

105484646656 is an abundant number, since it is smaller than the sum of its proper divisors (109682122833).

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

105484646656 is an frugal number, since it uses more digits than its factorization.

105484646656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 888 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 16588800, while the sum is 55.

The spelling of 105484646656 in words is "one hundred five billion, four hundred eighty-four million, six hundred forty-six thousand, six hundred fifty-six".