10107111066006 has 96 divisors (see below), whose sum is σ = 21191698773504. Its totient is φ = 3211708628800.

The previous prime is 10107111065977. The next prime is 10107111066011. The reversal of 10107111066006 is 60066011170101.

10107111066006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 117946816 + ... + 118032476.

It is an arithmetic number, because the mean of its divisors is an integer number (220746862224).

Almost surely, 2^{10107111066006} is an apocalyptic number.

10107111066006 is an abundant number, since it is smaller than the sum of its proper divisors (11084587707498).

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

10107111066006 is an equidigital number, since it uses as much as digits as its factorization.

10107111066006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85938 (or 85867 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 30.

The spelling of 10107111066006 in words is "ten trillion, one hundred seven billion, one hundred eleven million, sixty-six thousand, six".