102024432 has 60 divisors (see below), whose sum is σ = 287084304. Its totient is φ = 33822720.

The previous prime is 102024431. The next prime is 102024449. The reversal of 102024432 is 234420201.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102024431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25957 + ... + 29627.

Almost surely, 2^102024432 is an apocalyptic number.

102024432 is a gapful number since it is divisible by the number (12) 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 102024432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143542152).

102024432 is an abundant number, since it is smaller than the sum of its proper divisors (185059872).

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

102024432 is a wasteful number, since it uses less digits than its factorization.

102024432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3878 (or 3869 counting only the distinct ones).

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

The square root of 102024432 is about 10100.7144301777. The cubic root of 102024432 is about 467.2701751957.

Adding to 102024432 its reverse (234420201), we get a palindrome (336444633).

It can be divided in two parts, 1020 and 24432, that added together give a palindrome (25452).

The spelling of 102024432 in words is "one hundred two million, twenty-four thousand, four hundred thirty-two".