103982464656 has 240 divisors, whose sum is σ = 352488225024. Its totient is φ = 27934212096.

The previous prime is 103982464633. The next prime is 103982464667. The reversal of 103982464656 is 656464289301.

103982464656 is a `hidden beast` number, since 1 + 0 + 398 + 246 + 4 + 6 + 5 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 22325880 + ... + 22330536.

Almost surely, 2^103982464656 is an apocalyptic number.

103982464656 is a gapful number since it is divisible by the number (16) 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 103982464656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176244112512).

103982464656 is an abundant number, since it is smaller than the sum of its proper divisors (248505760368).

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

103982464656 is a wasteful number, since it uses less digits than its factorization.

103982464656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5998 (or 5989 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 103982464656 in words is "one hundred three billion, nine hundred eighty-two million, four hundred sixty-four thousand, six hundred fifty-six".