107938351001600 has 624 divisors, whose sum is σ = 324157238698176. Its totient is φ = 34801188864000.

The previous prime is 107938351001599. The next prime is 107938351001627. The reversal of 107938351001600 is 6100153839701.

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 47 ways as a sum of consecutive naturals, for example, 18046870610 + ... + 18046876590.

It is an arithmetic number, because the mean of its divisors is an integer number (519482754324).

Almost surely, 2^{107938351001600} is an apocalyptic number.

107938351001600 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 107938351001600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162078619349088).

107938351001600 is an abundant number, since it is smaller than the sum of its proper divisors (216218887696576).

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

107938351001600 is a wasteful number, since it uses less digits than its factorization.

107938351001600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7520 (or 7493 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 44.

The spelling of 107938351001600 in words is "one hundred seven trillion, nine hundred thirty-eight billion, three hundred fifty-one million, one thousand, six hundred".