102326400 has 576 divisors, whose sum is σ = 443944800. Its totient is φ = 22118400.

The previous prime is 102326387. The next prime is 102326429. The reversal of 102326400 is 4623201.

It is a happy number.

102326400 is a `hidden beast` number, since 1 + 0 + 23 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5385591 + ... + 5385609.

Almost surely, 2^102326400 is an apocalyptic number.

102326400 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 102326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221972400).

102326400 is an abundant number, since it is smaller than the sum of its proper divisors (341618400).

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

102326400 is a wasteful number, since it uses less digits than its factorization.

102326400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 102326400 is about 10115.6512395396. The cubic root of 102326400 is about 467.7307239024.

Adding to 102326400 its reverse (4623201), we get a palindrome (106949601).

The spelling of 102326400 in words is "one hundred two million, three hundred twenty-six thousand, four hundred".