10514400 has 144 divisors (see below), whose sum is σ = 36966384. Its totient is φ = 2580480.

The previous prime is 10514393. The next prime is 10514407. The reversal of 10514400 is 441501.

It is an interprime number because it is at equal distance from previous prime (10514393) and next prime (10514407).

It is a super-2 number, since 2×10514400² = 221105214720000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10514400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10514407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31032 + ... + 31368.

It is an arithmetic number, because the mean of its divisors is an integer number (256711).

Almost surely, 2^10514400 is an apocalyptic number.

10514400 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 10514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18483192).

10514400 is an abundant number, since it is smaller than the sum of its proper divisors (26451984).

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

10514400 is a wasteful number, since it uses less digits than its factorization.

10514400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 10514400 is about 3242.5915561476. The cubic root of 10514400 is about 219.0760145623.

Adding to 10514400 its reverse (441501), we get a palindrome (10955901).

The spelling of 10514400 in words is "ten million, five hundred fourteen thousand, four hundred".