102003300 has 270 divisors, whose sum is σ = 386135442. Its totient is φ = 23224320.

The previous prime is 102003289. The next prime is 102003331. The reversal of 102003300 is 3300201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 30735936 + 71267364 = 5544^2 + 8442^2 .

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

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 89 ways as a sum of consecutive naturals, for example, 396772 + ... + 397028.

Almost surely, 2^102003300 is an apocalyptic number.

102003300 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 102003300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193067721).

102003300 is an abundant number, since it is smaller than the sum of its proper divisors (284132142).

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

102003300 is a wasteful number, since it uses less digits than its factorization.

102003300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 9.

The square root of 102003300 is about 10099.6683113853. The cubic root of 102003300 is about 467.2379115671.

Adding to 102003300 its reverse (3300201), we get a palindrome (105303501).

The spelling of 102003300 in words is "one hundred two million, three thousand, three hundred".