102166185996 has 216 divisors, whose sum is σ = 319370229360. Its totient is φ = 27379296000.

The previous prime is 102166185943. The next prime is 102166186007. The reversal of 102166185996 is 699581661201.

102166185996 is a `hidden beast` number, since 1 + 0 + 2 + 16 + 618 + 5 + 9 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3370026 + ... + 3400206.

Almost surely, 2^102166185996 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 102166185996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159685114680).

102166185996 is an abundant number, since it is smaller than the sum of its proper divisors (217204043364).

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

102166185996 is a wasteful number, since it uses less digits than its factorization.

102166185996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30325 (or 30313 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 54.

The spelling of 102166185996 in words is "one hundred two billion, one hundred sixty-six million, one hundred eighty-five thousand, nine hundred ninety-six".