10534300 has 72 divisors (see below), whose sum is σ = 26560800. Its totient is φ = 3552000.

The previous prime is 10534291. The next prime is 10534301. The reversal of 10534300 is 343501.

10534300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10534300² = 221942952980000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10534301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70626 + ... + 70774.

It is an arithmetic number, because the mean of its divisors is an integer number (368900).

Almost surely, 2^10534300 is an apocalyptic number.

10534300 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 10534300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13280400).

10534300 is an abundant number, since it is smaller than the sum of its proper divisors (16026500).

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

10534300 is a wasteful number, since it uses less digits than its factorization.

10534300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 10534300 is about 3245.6586388590. The cubic root of 10534300 is about 219.2141383159.

Adding to 10534300 its reverse (343501), we get a palindrome (10877801).

The spelling of 10534300 in words is "ten million, five hundred thirty-four thousand, three hundred".