102109205415168 has 576 divisors, whose sum is σ = 357005938705920. Its totient is φ = 28178308988928.

The previous prime is 102109205415137. The next prime is 102109205415193. The reversal of 102109205415168 is 861514502901201.

102109205415168 is a `hidden beast` number, since 1 + 0 + 2 + 1 + 0 + 92 + 0 + 5 + 41 + 516 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 245050330 + ... + 245466662.

It is an arithmetic number, because the mean of its divisors is an integer number (619801976920).

Almost surely, 2^{102109205415168} is an apocalyptic number.

102109205415168 is a gapful number since it is divisible by the number (18) 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 102109205415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178502969352960).

102109205415168 is an abundant number, since it is smaller than the sum of its proper divisors (254896733290752).

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

102109205415168 is a wasteful number, since it uses less digits than its factorization.

102109205415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416539 (or 416519 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 45.

The spelling of 102109205415168 in words is "one hundred two trillion, one hundred nine billion, two hundred five million, four hundred fifteen thousand, one hundred sixty-eight".