107482111933824 has 320 divisors, whose sum is σ = 330929886830400. Its totient is φ = 34588281692160.

The previous prime is 107482111933817. The next prime is 107482111933913. The reversal of 107482111933824 is 428339111284701.

It is a happy number.

107482111933824 is a `hidden beast` number, since 1 + 0 + 7 + 48 + 211 + 1 + 9 + 3 + 382 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 5448467449 + ... + 5448487175.

It is an arithmetic number, because the mean of its divisors is an integer number (1034155896345).

Almost surely, 2^{107482111933824} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107482111933824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165464943415200).

107482111933824 is an abundant number, since it is smaller than the sum of its proper divisors (223447774896576).

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

107482111933824 is a wasteful number, since it uses less digits than its factorization.

107482111933824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37903 (or 37882 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 107482111933824 in words is "one hundred seven trillion, four hundred eighty-two billion, one hundred eleven million, nine hundred thirty-three thousand, eight hundred twenty-four".