10534200300 has 216 divisors, whose sum is σ = 35658342720. Its totient is φ = 2585779200.

The previous prime is 10534200239. The next prime is 10534200311. The reversal of 10534200300 is 300243501.

It is a super-2 number, since 2×10534200300² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5041656 + ... + 5043744.

It is an arithmetic number, because the mean of its divisors is an integer number (165084920).

Almost surely, 2^10534200300 is an apocalyptic number.

10534200300 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 10534200300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829171360).

10534200300 is an abundant number, since it is smaller than the sum of its proper divisors (25124142420).

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

10534200300 is a wasteful number, since it uses less digits than its factorization.

10534200300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2553 (or 2543 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

Adding to 10534200300 its reverse (300243501), we get a palindrome (10834443801).

The spelling of 10534200300 in words is "ten billion, five hundred thirty-four million, two hundred thousand, three hundred".