10049800 has 48 divisors (see below), whose sum is σ = 23631300. Its totient is φ = 3974400.

The previous prime is 10049783. The next prime is 10049801. The reversal of 10049800 is 894001.

It can be written as a sum of positive squares in 6 ways, for example, as 3709476 + 6340324 = 1926^2 + 2518^2 .

It is not an unprimeable number, because it can be changed into a prime (10049801) 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, 21570 + ... + 22030.

Almost surely, 2^10049800 is an apocalyptic number.

10049800 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 10049800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11815650).

10049800 is an abundant number, since it is smaller than the sum of its proper divisors (13581500).

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

10049800 is a wasteful number, since it uses less digits than its factorization.

10049800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 22.

The square root of 10049800 is about 3170.1419526576. The cubic root of 10049800 is about 215.8005131228.

The spelling of 10049800 in words is "ten million, forty-nine thousand, eight hundred".