107781657984 has 1152 divisors, whose sum is σ = 435533716800. Its totient is φ = 24865505280.

The previous prime is 107781657967. The next prime is 107781658009. The reversal of 107781657984 is 489756187701.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

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 143 ways as a sum of consecutive naturals, for example, 367855342 + ... + 367855634.

Almost surely, 2^107781657984 is an apocalyptic number.

107781657984 is a gapful number since it is divisible by the number (14) 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 107781657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217766858400).

107781657984 is an abundant number, since it is smaller than the sum of its proper divisors (327752058816).

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

107781657984 is a wasteful number, since it uses less digits than its factorization.

107781657984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 107781657984 in words is "one hundred seven billion, seven hundred eighty-one million, six hundred fifty-seven thousand, nine hundred eighty-four".