102830400 has 252 divisors, whose sum is σ = 377306332. Its totient is φ = 26542080.

The previous prime is 102830353. The next prime is 102830411. The reversal of 102830400 is 4038201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 254016 + 102576384 = 504^2 + 10128^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 532704 + ... + 532896.

Almost surely, 2^102830400 is an apocalyptic number.

102830400 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 102830400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188653166).

102830400 is an abundant number, since it is smaller than the sum of its proper divisors (274475932).

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

102830400 is a wasteful number, since it uses less digits than its factorization.

102830400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 102830400 is about 10140.5325303950. The cubic root of 102830400 is about 468.4973892251.

Adding to 102830400 its reverse (4038201), we get a palindrome (106868601).

The spelling of 102830400 in words is "one hundred two million, eight hundred thirty thousand, four hundred".