107107066000 has 640 divisors, whose sum is σ = 312537139200. Its totient is φ = 35078400000.

The previous prime is 107107065971. The next prime is 107107066009. The reversal of 107107066000 is 660701701.

It is a super-2 number, since 2×107107066000² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 107107066000.

It is not an unprimeable number, because it can be changed into a prime (107107066009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1060465950 + ... + 1060466050.

It is an arithmetic number, because the mean of its divisors is an integer number (488339280).

Almost surely, 2^107107066000 is an apocalyptic number.

107107066000 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 107107066000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156268569600).

107107066000 is an abundant number, since it is smaller than the sum of its proper divisors (205430073200).

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

107107066000 is a wasteful number, since it uses less digits than its factorization.

107107066000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 28.

Adding to 107107066000 its reverse (660701701), we get a palindrome (107767767701).

The spelling of 107107066000 in words is "one hundred seven billion, one hundred seven million, sixty-six thousand".