105827454456 has 128 divisors (see below), whose sum is σ = 297361152000. Its totient is φ = 31222654848.

The previous prime is 105827454401. The next prime is 105827454503. The reversal of 105827454456 is 654454728501.

It is a super-2 number, since 2×105827454456² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105827454399 and 105827454408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333655 + ... + 568313.

It is an arithmetic number, because the mean of its divisors is an integer number (2323134000).

Almost surely, 2^105827454456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105827454456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148680576000).

105827454456 is an abundant number, since it is smaller than the sum of its proper divisors (191533697544).

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

105827454456 is a wasteful number, since it uses less digits than its factorization.

105827454456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234753 (or 234749 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 51.

The spelling of 105827454456 in words is "one hundred five billion, eight hundred twenty-seven million, four hundred fifty-four thousand, four hundred fifty-six".