10510455200 has 144 divisors (see below), whose sum is σ = 29450615040. Its totient is φ = 3588049920.

The previous prime is 10510455161. The next prime is 10510455203. The reversal of 10510455200 is 255401501.

It is a happy number.

It is a super-2 number, since 2×10510455200² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10510455203) 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, 1334474 + ... + 1342326.

It is an arithmetic number, because the mean of its divisors is an integer number (204518160).

Almost surely, 2^10510455200 is an apocalyptic number.

10510455200 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 10510455200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14725307520).

10510455200 is an abundant number, since it is smaller than the sum of its proper divisors (18940159840).

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

10510455200 is a wasteful number, since it uses less digits than its factorization.

10510455200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8119 (or 8106 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

Adding to 10510455200 its reverse (255401501), we get a palindrome (10765856701).

The spelling of 10510455200 in words is "ten billion, five hundred ten million, four hundred fifty-five thousand, two hundred".