107568000000 has 770 divisors, whose sum is σ = 406356282948. Its totient is φ = 28339200000.

The previous prime is 107567999989. The next prime is 107568000017. The reversal of 107568000000 is 865701.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 1295999959 + ... + 1296000041.

Almost surely, 2^107568000000 is an apocalyptic number.

107568000000 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 107568000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203178141474).

107568000000 is an abundant number, since it is smaller than the sum of its proper divisors (298788282948).

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

107568000000 is an frugal number, since it uses more digits than its factorization.

107568000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 107568000000 its reverse (865701), we get a palindrome (107568865701).

The spelling of 107568000000 in words is "one hundred seven billion, five hundred sixty-eight million", and thus it is an aban number.