107638542336 has 416 divisors, whose sum is σ = 320023025280. Its totient is φ = 31973179392.

The previous prime is 107638542301. The next prime is 107638542373. The reversal of 107638542336 is 633245836701.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 952553416 + ... + 952553528.

Almost surely, 2^107638542336 is an apocalyptic number.

107638542336 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 107638542336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160011512640).

107638542336 is an abundant number, since it is smaller than the sum of its proper divisors (212384482944).

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

107638542336 is a wasteful number, since it uses less digits than its factorization.

107638542336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 48.

The spelling of 107638542336 in words is "one hundred seven billion, six hundred thirty-eight million, five hundred forty-two thousand, three hundred thirty-six".