107526748940352 has 896 divisors, whose sum is σ = 387290525798400. Its totient is φ = 28571531231232.

The previous prime is 107526748940267. The next prime is 107526748940363. The reversal of 107526748940352 is 253049847625701.

It is a happy number.

107526748940352 is a `hidden beast` number, since 1 + 0 + 7 + 5 + 2 + 67 + 489 + 40 + 3 + 52 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 107526748940352.

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 127 ways as a sum of consecutive naturals, for example, 4511663028 + ... + 4511686860.

It is an arithmetic number, because the mean of its divisors is an integer number (432243890400).

It is a 1-persistent number, because it is pandigital, but 2⋅107526748940352 = 215053497880704 is not.

Almost surely, 2^{107526748940352} is an apocalyptic number.

107526748940352 is a gapful number since it is divisible by the number (12) 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 107526748940352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193645262899200).

107526748940352 is an abundant number, since it is smaller than the sum of its proper divisors (279763776858048).

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

107526748940352 is a wasteful number, since it uses less digits than its factorization.

107526748940352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24240 (or 24224 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

It can be divided in two parts, 10752 and 6748940352, that added together give a square (6748951104 = 82152²).

The spelling of 107526748940352 in words is "one hundred seven trillion, five hundred twenty-six billion, seven hundred forty-eight million, nine hundred forty thousand, three hundred fifty-two".