102405420 has 144 divisors (see below), whose sum is σ = 338476320. Its totient is φ = 24910848.

The previous prime is 102405389. The next prime is 102405427. The reversal of 102405420 is 24504201.

102405420 is a `hidden beast` number, since 1 + 0 + 240 + 5 + 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 = 102405393 and 102405402.

It is not an unprimeable number, because it can be changed into a prime (102405427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250176 + ... + 250584.

It is an arithmetic number, because the mean of its divisors is an integer number (2350530).

Almost surely, 2^102405420 is an apocalyptic number.

102405420 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 102405420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169238160).

102405420 is an abundant number, since it is smaller than the sum of its proper divisors (236070900).

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

102405420 is a wasteful number, since it uses less digits than its factorization.

102405420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 544 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102405420 is about 10119.5563143845. The cubic root of 102405420 is about 467.8510922268.

Adding to 102405420 its reverse (24504201), we get a palindrome (126909621).

The spelling of 102405420 in words is "one hundred two million, four hundred five thousand, four hundred twenty".