102225856 has 28 divisors (see below), whose sum is σ = 204467968. Its totient is φ = 50706432.

The previous prime is 102225847. The next prime is 102225859. The reversal of 102225856 is 658522201.

102225856 is an admirable number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102225859) 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, 1840 + ... + 14416.

Almost surely, 2^102225856 is an apocalyptic number.

102225856 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 102225856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102233984).

102225856 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

102225856 is a wasteful number, since it uses less digits than its factorization.

102225856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12716 (or 12706 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The square root of 102225856 is about 10110.6802936301. The cubic root of 102225856 is about 467.5774792230.

The spelling of 102225856 in words is "one hundred two million, two hundred twenty-five thousand, eight hundred fifty-six".