107933205207136 has 96 divisors (see below), whose sum is σ = 228644012586528. Its totient is φ = 49971378585600.

The previous prime is 107933205207133. The next prime is 107933205207151. The reversal of 107933205207136 is 631702502339701.

It is a self number, because there is not a number n which added to its sum of digits gives 107933205207136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107933205207133) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 12535611 + ... + 19313413.

It is an arithmetic number, because the mean of its divisors is an integer number (2381708464443).

Almost surely, 2^{107933205207136} is an apocalyptic number.

107933205207136 is a gapful number since it is divisible by the number (16) 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 107933205207136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114322006293264).

107933205207136 is an abundant number, since it is smaller than the sum of its proper divisors (120710807379392).

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

107933205207136 is a wasteful number, since it uses less digits than its factorization.

107933205207136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6778304 (or 6778296 counting only the distinct ones).

The product of its (nonzero) digits is 1428840, while the sum is 49.

The spelling of 107933205207136 in words is "one hundred seven trillion, nine hundred thirty-three billion, two hundred five million, two hundred seven thousand, one hundred thirty-six".