102324400 has 60 divisors (see below), whose sum is σ = 246807864. Its totient is φ = 40768000.

The previous prime is 102324379. The next prime is 102324437. The reversal of 102324400 is 4423201.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

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, 196140 + ... + 196660.

Almost surely, 2^102324400 is an apocalyptic number.

102324400 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 102324400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123403932).

102324400 is an abundant number, since it is smaller than the sum of its proper divisors (144483464).

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

102324400 is a wasteful number, since it uses less digits than its factorization.

102324400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030 (or 1019 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 102324400 is about 10115.5523823467. The cubic root of 102324400 is about 467.7276765704.

Adding to 102324400 its reverse (4423201), we get a palindrome (106747601).

The spelling of 102324400 in words is "one hundred two million, three hundred twenty-four thousand, four hundred".