102408 has 32 divisors (see below), whose sum is σ = 272160. Its totient is φ = 32000.

The previous prime is 102407. The next prime is 102409. The reversal of 102408 is 804201.

It is an interprime number because it is at equal distance from previous prime (102407) and next prime (102409).

It is not an unprimeable number, because it can be changed into a prime (102407) 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, 283 + ... + 533.

It is an arithmetic number, because the mean of its divisors is an integer number (8505).

2¹⁰²⁴⁰⁸ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136080).

102408 is an abundant number, since it is smaller than the sum of its proper divisors (169752).

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

102408 is a wasteful number, since it uses less digits than its factorization.

102408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 102408 is about 320.0124997559. The cubic root of 102408 is about 46.7855021204.

Adding to 102408 its reverse (804201), we get a palindrome (906609).

It can be divided in two parts, 102 and 408, that multiplied together give a triangular number (41616 = T₂₈₈).

The spelling of 102408 in words is "one hundred two thousand, four hundred eight".