102076009678176 has 192 divisors, whose sum is σ = 280545262373376. Its totient is φ = 32436072345600.

The previous prime is 102076009678099. The next prime is 102076009678187. The reversal of 102076009678176 is 671876900670201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 777828246 + ... + 777959466.

It is an arithmetic number, because the mean of its divisors is an integer number (1461173241528).

Almost surely, 2^{102076009678176} is an apocalyptic number.

102076009678176 is a gapful number since it is divisible by the number (16) 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 102076009678176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140272631186688).

102076009678176 is an abundant number, since it is smaller than the sum of its proper divisors (178469252695200).

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

102076009678176 is a wasteful number, since it uses less digits than its factorization.

102076009678176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132445 (or 132437 counting only the distinct ones).

The product of its (nonzero) digits is 10668672, while the sum is 60.

The spelling of 102076009678176 in words is "one hundred two trillion, seventy-six billion, nine million, six hundred seventy-eight thousand, one hundred seventy-six".