10127687108 has 144 divisors (see below), whose sum is σ = 23071112064. Its totient is φ = 3845237760.

The previous prime is 10127687107. The next prime is 10127687123. The reversal of 10127687108 is 80178672101.

10127687108 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10127687107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 30052316 + ... + 30052652.

It is an arithmetic number, because the mean of its divisors is an integer number (160216056).

Almost surely, 2^10127687108 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10127687108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11535556032).

10127687108 is an abundant number, since it is smaller than the sum of its proper divisors (12943424956).

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

10127687108 is a wasteful number, since it uses less digits than its factorization.

10127687108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 682 (or 673 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 41.

The spelling of 10127687108 in words is "ten billion, one hundred twenty-seven million, six hundred eighty-seven thousand, one hundred eight".