102016660610106 has 192 divisors, whose sum is σ = 243669453071616. Its totient is φ = 30590213222400.

The previous prime is 102016660610099. The next prime is 102016660610141. The reversal of 102016660610106 is 601016066610201.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12111673411 + ... + 12111681833.

It is an arithmetic number, because the mean of its divisors is an integer number (1269111734748).

Almost surely, 2^{102016660610106} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102016660610106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121834726535808).

102016660610106 is an abundant number, since it is smaller than the sum of its proper divisors (141652792461510).

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

102016660610106 is a wasteful number, since it uses less digits than its factorization.

102016660610106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9957 (or 9954 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 102016660610106 in words is "one hundred two trillion, sixteen billion, six hundred sixty million, six hundred ten thousand, one hundred six".