10535300 has 36 divisors (see below), whose sum is σ = 23058420. Its totient is φ = 4177920.

The previous prime is 10535293. The next prime is 10535303. The reversal of 10535300 is 353501.

It can be written as a sum of positive squares in 6 ways, for example, as 244036 + 10291264 = 494^2 + 3208^2 .

It is a super-2 number, since 2×10535300² = 221985092180000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10535303) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 13316 + ... + 14084.

Almost surely, 2^10535300 is an apocalyptic number.

10535300 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 10535300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11529210).

10535300 is an abundant number, since it is smaller than the sum of its proper divisors (12523120).

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

10535300 is a wasteful number, since it uses less digits than its factorization.

10535300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 913 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 17.

The square root of 10535300 is about 3245.8126871402. The cubic root of 10535300 is about 219.2210746161.

Adding to 10535300 its reverse (353501), we get a palindrome (10888801).

The spelling of 10535300 in words is "ten million, five hundred thirty-five thousand, three hundred".