102204414 has 48 divisors (see below), whose sum is σ = 243577152. Its totient is φ = 30775104.

The previous prime is 102204407. The next prime is 102204419. The reversal of 102204414 is 414402201.

102204414 is a `hidden beast` number, since 1 + 0 + 220 + 441 + 4 = 666.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102204419) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6352 + ... + 15644.

It is an arithmetic number, because the mean of its divisors is an integer number (5074524).

Almost surely, 2^102204414 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102204414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121788576).

102204414 is an abundant number, since it is smaller than the sum of its proper divisors (141372738).

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

102204414 is a wasteful number, since it uses less digits than its factorization.

102204414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9361 (or 9358 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 102204414 is about 10109.6198741595. The cubic root of 102204414 is about 467.5447852851.

Adding to 102204414 its reverse (414402201), we get a palindrome (516606615).

The spelling of 102204414 in words is "one hundred two million, two hundred four thousand, four hundred fourteen".