102310400 has 60 divisors (see below), whose sum is σ = 253513722. Its totient is φ = 40919040.

The previous prime is 102310391. The next prime is 102310423. The reversal of 102310400 is 4013201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 52070656 + 50239744 = 7216^2 + 7088^2 .

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 5 ways as a sum of consecutive naturals, for example, 8804 + ... + 16796.

Almost surely, 2^102310400 is an apocalyptic number.

102310400 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 102310400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126756861).

102310400 is an abundant number, since it is smaller than the sum of its proper divisors (151203322).

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

102310400 is an frugal number, since it uses more digits than its factorization.

102310400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8021 (or 8000 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102310400 is about 10114.8603549431. The cubic root of 102310400 is about 467.7063441345.

Adding to 102310400 its reverse (4013201), we get a palindrome (106323601).

The spelling of 102310400 in words is "one hundred two million, three hundred ten thousand, four hundred".