102432414 has 64 divisors (see below), whose sum is σ = 240883200. Its totient is φ = 28435968.

The previous prime is 102432413. The next prime is 102432419. The reversal of 102432414 is 414234201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102432413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250242 + ... + 250650.

It is an arithmetic number, because the mean of its divisors is an integer number (3763800).

Almost surely, 2^102432414 is an apocalyptic number.

102432414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102432414, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120441600).

102432414 is an abundant number, since it is smaller than the sum of its proper divisors (138450786).

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

102432414 is a wasteful number, since it uses less digits than its factorization.

102432414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577.

The product of its (nonzero) digits is 768, while the sum is 21.

The square root of 102432414 is about 10120.8899806292. The cubic root of 102432414 is about 467.8921970266.

Adding to 102432414 its reverse (414234201), we get a palindrome (516666615).

The spelling of 102432414 in words is "one hundred two million, four hundred thirty-two thousand, four hundred fourteen".