102086656 has 48 divisors (see below), whose sum is σ = 233316720. Its totient is φ = 43745280.

The previous prime is 102086651. The next prime is 102086657. The reversal of 102086656 is 656680201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102086651) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 10776 + ... + 17896.

It is an arithmetic number, because the mean of its divisors is an integer number (4860765).

Almost surely, 2^102086656 is an apocalyptic number.

102086656 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 102086656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116658360).

102086656 is an abundant number, since it is smaller than the sum of its proper divisors (131230064).

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

102086656 is an frugal number, since it uses more digits than its factorization.

102086656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7150 (or 7130 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 102086656 is about 10103.7941388372. The cubic root of 102086656 is about 467.3651508463.

The spelling of 102086656 in words is "one hundred two million, eighty-six thousand, six hundred fifty-six".