107285668000 has 192 divisors, whose sum is σ = 310978676736. Its totient is φ = 35596800000.

The previous prime is 107285667961. The next prime is 107285668019. The reversal of 107285668000 is 866582701.

107285668000 = 16727² + 16728² + ... + 17101².

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 31 ways as a sum of consecutive naturals, for example, 806200 + ... + 929800.

It is an arithmetic number, because the mean of its divisors is an integer number (1619680608).

Almost surely, 2^107285668000 is an apocalyptic number.

107285668000 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 107285668000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155489338368).

107285668000 is an abundant number, since it is smaller than the sum of its proper divisors (203693008736).

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

107285668000 is a wasteful number, since it uses less digits than its factorization.

107285668000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123664 (or 123646 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 43.

The spelling of 107285668000 in words is "one hundred seven billion, two hundred eighty-five million, six hundred sixty-eight thousand".