102456 has 24 divisors (see below), whose sum is σ = 277680. Its totient is φ = 34128.

The previous prime is 102451. The next prime is 102461. The reversal of 102456 is 654201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (102451) and next prime (102461).

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102451) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 640 + ... + 783.

It is an arithmetic number, because the mean of its divisors is an integer number (11570).

2¹⁰²⁴⁵⁶ is an apocalyptic number.

It is an amenable number.

102456 is an abundant number, since it is smaller than the sum of its proper divisors (175224).

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

102456 is a wasteful number, since it uses less digits than its factorization.

102456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1435 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102456 is about 320.0874880404. The cubic root of 102456 is about 46.7928106423.

Adding to 102456 its reverse (654201), we get a palindrome (756657).

The spelling of 102456 in words is "one hundred two thousand, four hundred fifty-six".