102432420 has 144 divisors (see below), whose sum is σ = 333103680. Its totient is φ = 25401600.

The previous prime is 102432419. The next prime is 102432433. The reversal of 102432420 is 24234201.

102432420 is a `hidden beast` number, since 1 + 0 + 243 + 2 + 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 = 102432393 and 102432402.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 208375 + ... + 208865.

It is an arithmetic number, because the mean of its divisors is an integer number (2313220).

Almost surely, 2^102432420 is an apocalyptic number.

102432420 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 102432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166551840).

102432420 is an abundant number, since it is smaller than the sum of its proper divisors (230671260).

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

102432420 is a wasteful number, since it uses less digits than its factorization.

102432420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 102432420 is about 10120.8902770458. The cubic root of 102432420 is about 467.8922061623.

Adding to 102432420 its reverse (24234201), we get a palindrome (126666621).

The spelling of 102432420 in words is "one hundred two million, four hundred thirty-two thousand, four hundred twenty".