10066107198000 has 160 divisors (see below), whose sum is σ = 37089291133440. Its totient is φ = 2300824492800.

The previous prime is 10066107197999. The next prime is 10066107198001. The reversal of 10066107198000 is 89170166001.

10066107198000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10066107197999) and next prime (10066107198001).

It is a super-2 number, since 2×10066107198000² (a number of 27 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 10066107198000.

It is not an unprimeable number, because it can be changed into a prime (10066107198001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119792610 + ... + 119876609.

It is an arithmetic number, because the mean of its divisors is an integer number (231808069584).

Almost surely, 2^{10066107198000} is an apocalyptic number.

10066107198000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10066107198000 is an abundant number, since it is smaller than the sum of its proper divisors (27023183935440).

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

10066107198000 is a wasteful number, since it uses less digits than its factorization.

10066107198000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239669252 (or 239669236 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 39.

The spelling of 10066107198000 in words is "ten trillion, sixty-six billion, one hundred seven million, one hundred ninety-eight thousand".