107683081107552 has 288 divisors, whose sum is σ = 324767152775520. Its totient is φ = 33749329674240.

The previous prime is 107683081107493. The next prime is 107683081107557. The reversal of 107683081107552 is 255701180386701.

107683081107552 is a `hidden beast` number, since 1 + 0 + 7 + 6 + 8 + 3 + 0 + 81 + 1 + 0 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107683081107557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3952964652 + ... + 3952991892.

It is an arithmetic number, because the mean of its divisors is an integer number (1127663724915).

Almost surely, 2^{107683081107552} is an apocalyptic number.

107683081107552 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 107683081107552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162383576387760).

107683081107552 is an abundant number, since it is smaller than the sum of its proper divisors (217084071667968).

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

107683081107552 is a wasteful number, since it uses less digits than its factorization.

107683081107552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32686 (or 32675 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 107683081107552 in words is "one hundred seven trillion, six hundred eighty-three billion, eighty-one million, one hundred seven thousand, five hundred fifty-two".