102166180761600 has 3120 divisors, whose sum is σ = 416770897276800. Its totient is φ = 24655681290240.

The previous prime is 102166180761587. The next prime is 102166180761647. The reversal of 102166180761600 is 6167081661201.

102166180761600 is a `hidden beast` number, since 1 + 0 + 2 + 16 + 6 + 18 + 0 + 7 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 326409523044 + ... + 326409523356.

Almost surely, 2^{102166180761600} is an apocalyptic number.

102166180761600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102166180761600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208385448638400).

102166180761600 is an abundant number, since it is smaller than the sum of its proper divisors (314604716515200).

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

102166180761600 is a wasteful number, since it uses less digits than its factorization.

102166180761600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 102166180761600 in words is "one hundred two trillion, one hundred sixty-six billion, one hundred eighty million, seven hundred sixty-one thousand, six hundred".