10541200 has 90 divisors (see below), whose sum is σ = 27094434. Its totient is φ = 3939840.

The previous prime is 10541183. The next prime is 10541203. The reversal of 10541200 is 214501.

It can be written as a sum of positive squares in 3 ways, for example, as 831744 + 9709456 = 912^2 + 3116^2 .

It is a super-2 number, since 2×10541200² = 222233794880000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10541203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 144364 + ... + 144436.

Almost surely, 2^10541200 is an apocalyptic number.

10541200 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 10541200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547217).

10541200 is an abundant number, since it is smaller than the sum of its proper divisors (16553234).

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

10541200 is a wasteful number, since it uses less digits than its factorization.

10541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 99 counting only the distinct ones).

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

The square root of 10541200 is about 3246.7214232207. The cubic root of 10541200 is about 219.2619898557.

Adding to 10541200 its reverse (214501), we get a palindrome (10755701).

The spelling of 10541200 in words is "ten million, five hundred forty-one thousand, two hundred".