10063300 has 36 divisors (see below), whose sum is σ = 23520196. Its totient is φ = 3715200.

The previous prime is 10063283. The next prime is 10063307. The reversal of 10063300 is 336001.

10063300 = 636² + 637² + ... + 659².

It can be written as a sum of positive squares in 6 ways, for example, as 2268036 + 7795264 = 1506^2 + 2792^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (10063307) by changing a digit.

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, 2571 + ... + 5170.

Almost surely, 2^10063300 is an apocalyptic number.

10063300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10063300 is an abundant number, since it is smaller than the sum of its proper divisors (13456896).

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

10063300 is a wasteful number, since it uses less digits than its factorization.

10063300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7768 (or 7761 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 13.

The square root of 10063300 is about 3172.2704802712. The cubic root of 10063300 is about 215.8970989058.

Adding to 10063300 its reverse (336001), we get a palindrome (10399301).

The spelling of 10063300 in words is "ten million, sixty-three thousand, three hundred".