10512400 has 60 divisors (see below), whose sum is σ = 25912404. Its totient is φ = 4096000.

The previous prime is 10512389. The next prime is 10512401. The reversal of 10512400 is 421501.

It can be written as a sum of positive squares in 6 ways, for example, as 374544 + 10137856 = 612^2 + 3184^2 .

It is a super-2 number, since 2×10512400² = 221021107520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10512401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16080 + ... + 16720.

Almost surely, 2^10512400 is an apocalyptic number.

10512400 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 10512400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12956202).

10512400 is an abundant number, since it is smaller than the sum of its proper divisors (15400004).

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

10512400 is a wasteful number, since it uses less digits than its factorization.

10512400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 700 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 10512400 is about 3242.2831461796. The cubic root of 10512400 is about 219.0621231432.

Adding to 10512400 its reverse (421501), we get a palindrome (10933901).

The spelling of 10512400 in words is "ten million, five hundred twelve thousand, four hundred".