10510350400 has 189 divisors, whose sum is σ = 28549387783. Its totient is φ = 3805542400.

The previous prime is 10510350371. The next prime is 10510350401. The reversal of 10510350400 is 405301501.

The square root of 10510350400 is 102520.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2069886016 + 8440464384 = 45496^2 + 91872^2 .

It is a super-2 number, since 2×10510350400² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10510350401) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 45108684 + ... + 45108916.

Almost surely, 2^10510350400 is an apocalyptic number.

10510350400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10510350400 is the 102520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10510350400

10510350400 is an abundant number, since it is smaller than the sum of its proper divisors (18039037383).

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

10510350400 is an equidigital number, since it uses as much as digits as its factorization.

10510350400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

Adding to 10510350400 its reverse (405301501), we get a palindrome (10915651901).

The spelling of 10510350400 in words is "ten billion, five hundred ten million, three hundred fifty thousand, four hundred".