102256 has 40 divisors (see below), whose sum is σ = 249984. Its totient is φ = 39360.

The previous prime is 102253. The next prime is 102259. The reversal of 102256 is 652201.

102256 = T₈ + T₉ + ... + T₈₄.

It is a happy number.

102256 is nontrivially palindromic in base 3.

It is an interprime number because it is at equal distance from previous prime (102253) and next prime (102259).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102251) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1191 + ... + 1273.

2¹⁰²²⁵⁶ is an apocalyptic number.

102256 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 102256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124992).

102256 is an abundant number, since it is smaller than the sum of its proper divisors (147728).

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

102256 is a wasteful number, since it uses less digits than its factorization.

102256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102256 is about 319.7749208428. The cubic root of 102256 is about 46.7623433906.

Adding to 102256 its reverse (652201), we get a palindrome (754457).

Subtracting 102256 from its reverse (652201), we obtain a palindrome (549945).

The spelling of 102256 in words is "one hundred two thousand, two hundred fifty-six".