10241800 has 48 divisors (see below), whose sum is σ = 24412500. Its totient is φ = 3993600.

The previous prime is 10241789. The next prime is 10241807. The reversal of 10241800 is 814201.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 988036 + 9253764 = 994^2 + 3042^2 .

It is not an unprimeable number, because it can be changed into a prime (10241807) 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, 7576 + ... + 8824.

Almost surely, 2^10241800 is an apocalyptic number.

10241800 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 10241800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12206250).

10241800 is an abundant number, since it is smaller than the sum of its proper divisors (14170700).

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

10241800 is a wasteful number, since it uses less digits than its factorization.

10241800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1306 (or 1297 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 10241800 is about 3200.2812376415. The cubic root of 10241800 is about 217.1661324147.

The spelling of 10241800 in words is "ten million, two hundred forty-one thousand, eight hundred".