102771317376 has 1344 divisors, whose sum is σ = 408038760000. Its totient is φ = 25677969408.

The previous prime is 102771317347. The next prime is 102771317413. The reversal of 102771317376 is 673713177201.

102771317376 is a `hidden beast` number, since 1 + 0 + 277 + 1 + 3 + 1 + 7 + 376 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 5409016695 + ... + 5409016713.

Almost surely, 2^102771317376 is an apocalyptic number.

102771317376 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 102771317376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204019380000).

102771317376 is an abundant number, since it is smaller than the sum of its proper divisors (305267442624).

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

102771317376 is an frugal number, since it uses more digits than its factorization.

102771317376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 259308, while the sum is 45.

The spelling of 102771317376 in words is "one hundred two billion, seven hundred seventy-one million, three hundred seventeen thousand, three hundred seventy-six".