10541600 has 36 divisors (see below), whose sum is σ = 25736634. Its totient is φ = 4216320.

The previous prime is 10541569. The next prime is 10541603. The reversal of 10541600 is 614501.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 8456464 + 2085136 = 2908^2 + 1444^2 .

It is a super-2 number, since 2×10541600² = 222250661120000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10541603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5789 + ... + 7388.

Almost surely, 2^10541600 is an apocalyptic number.

10541600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10541600 is an abundant number, since it is smaller than the sum of its proper divisors (15195034).

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

10541600 is a wasteful number, since it uses less digits than its factorization.

10541600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13197 (or 13184 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 10541600 is about 3246.7830232401. The cubic root of 10541600 is about 219.2647632175.

The spelling of 10541600 in words is "ten million, five hundred forty-one thousand, six hundred".