107781507456 has 128 divisors (see below), whose sum is σ = 330252629760. Its totient is φ = 30506833920.

The previous prime is 107781507439. The next prime is 107781507487. The reversal of 107781507456 is 654705187701.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×107781507456³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107781507399 and 107781507408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100246 + ... + 474986.

It is an arithmetic number, because the mean of its divisors is an integer number (2580098670).

Almost surely, 2^107781507456 is an apocalyptic number.

107781507456 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 107781507456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165126314880).

107781507456 is an abundant number, since it is smaller than the sum of its proper divisors (222471122304).

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

107781507456 is a wasteful number, since it uses less digits than its factorization.

107781507456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374872 (or 374860 counting only the distinct ones).

The product of its (nonzero) digits is 1646400, while the sum is 51.

The spelling of 107781507456 in words is "one hundred seven billion, seven hundred eighty-one million, five hundred seven thousand, four hundred fifty-six".