10102907103066 has 80 divisors (see below), whose sum is σ = 23121318616704. Its totient is φ = 3295746717696.

The previous prime is 10102907103053. The next prime is 10102907103103. The reversal of 10102907103066 is 66030170920101.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10102907103066.

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 39 ways as a sum of consecutive naturals, for example, 128507866 + ... + 128586458.

Almost surely, 2^{10102907103066} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10102907103066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11560659308352).

10102907103066 is an abundant number, since it is smaller than the sum of its proper divisors (13018411513638).

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

10102907103066 is a wasteful number, since it uses less digits than its factorization.

10102907103066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95537 (or 95528 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The spelling of 10102907103066 in words is "ten trillion, one hundred two billion, nine hundred seven million, one hundred three thousand, sixty-six".