107884530000 has 900 divisors, whose sum is σ = 420925957452. Its totient is φ = 25758720000.

The previous prime is 107884529993. The next prime is 107884530049. The reversal of 107884530000 is 35488701.

It can be written as a sum of positive squares in 30 ways, for example, as 61363216656 + 46521313344 = 247716^2 + 215688^2 .

It is a tau number, because it is divible by the number of its divisors (900).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 623609914 + ... + 623610086.

Almost surely, 2^107884530000 is an apocalyptic number.

107884530000 is a gapful number since it is divisible by the number (10) 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 107884530000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210462978726).

107884530000 is an abundant number, since it is smaller than the sum of its proper divisors (313041427452).

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

107884530000 is a wasteful number, since it uses less digits than its factorization.

107884530000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 107884530000 in words is "one hundred seven billion, eight hundred eighty-four million, five hundred thirty thousand".