102414420 has 72 divisors (see below), whose sum is σ = 312609024. Its totient is φ = 27139008.

The previous prime is 102414413. The next prime is 102414437. The reversal of 102414420 is 24414201.

102414420 is a `hidden beast` number, since 1 + 0 + 241 + 4 + 420 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 102414393 and 102414402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28357 + ... + 31763.

It is an arithmetic number, because the mean of its divisors is an integer number (4341792).

Almost surely, 2^102414420 is an apocalyptic number.

102414420 is a gapful number since it is divisible by the number (10) 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 102414420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156304512).

102414420 is an abundant number, since it is smaller than the sum of its proper divisors (210194604).

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

102414420 is a wasteful number, since it uses less digits than its factorization.

102414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3589 (or 3584 counting only the distinct ones).

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

The square root of 102414420 is about 10120.0009881422. Note that the first 3 decimals coincide. The cubic root of 102414420 is about 467.8647976749.

Adding to 102414420 its reverse (24414201), we get a palindrome (126828621).

The spelling of 102414420 in words is "one hundred two million, four hundred fourteen thousand, four hundred twenty".