107555333984 has 144 divisors (see below), whose sum is σ = 261115284528. Its totient is φ = 43332968448.

The previous prime is 107555333981. The next prime is 107555333999. The reversal of 107555333984 is 489333555701.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107555333981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29932892 + ... + 29936484.

It is an arithmetic number, because the mean of its divisors is an integer number (1813300587).

Almost surely, 2^107555333984 is an apocalyptic number.

107555333984 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 107555333984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130557642264).

107555333984 is an abundant number, since it is smaller than the sum of its proper divisors (153559950544).

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

107555333984 is a wasteful number, since it uses less digits than its factorization.

107555333984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4757 (or 4742 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 53.

The spelling of 107555333984 in words is "one hundred seven billion, five hundred fifty-five million, three hundred thirty-three thousand, nine hundred eighty-four".