102414 has 24 divisors (see below), whose sum is σ = 223992. Its totient is φ = 31200.

The previous prime is 102409. The next prime is 102433. The reversal of 102414 is 414201.

102414 is a Rhonda number in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 102414.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 964 + ... + 1064.

It is an arithmetic number, because the mean of its divisors is an integer number (9333).

2¹⁰²⁴¹⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111996).

102414 is an abundant number, since it is smaller than the sum of its proper divisors (121578).

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

102414 is a wasteful number, since it uses less digits than its factorization.

102414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102414 is about 320.0218742524. The cubic root of 102414 is about 46.7864158105.

Adding to 102414 its reverse (414201), we get a palindrome (516615).

The spelling of 102414 in words is "one hundred two thousand, four hundred fourteen", and thus it is an iban number.