102871581696 has 297 divisors, whose sum is σ = 322902690591. Its totient is φ = 31529631744.

The previous prime is 102871581691. The next prime is 102871581733. The reversal of 102871581696 is 696185178201.

It is a happy number.

The square root of 102871581696 is 320736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 7316407296 + 95555174400 = 85536^2 + 309120^2 .

It is not an unprimeable number, because it can be changed into a prime (102871581691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 400278400 + ... + 400278656.

Almost surely, 2^102871581696 is an apocalyptic number.

102871581696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

102871581696 is the 320736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102871581696

102871581696 is an abundant number, since it is smaller than the sum of its proper divisors (220031108895).

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

102871581696 is an equidigital number, since it uses as much as digits as its factorization.

102871581696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 566 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 102871581696 in words is "one hundred two billion, eight hundred seventy-one million, five hundred eighty-one thousand, six hundred ninety-six".