10240200 has 72 divisors (see below), whose sum is σ = 34396050. Its totient is φ = 2730240.

The previous prime is 10240169. The next prime is 10240207. The reversal of 10240200 is 204201.

It can be written as a sum of positive squares in 3 ways, for example, as 9622404 + 617796 = 3102^2 + 786^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (10240207) 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, 1045 + ... + 4644.

Almost surely, 2^10240200 is an apocalyptic number.

10240200 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 10240200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17198025).

10240200 is an abundant number, since it is smaller than the sum of its proper divisors (24155850).

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

10240200 is a wasteful number, since it uses less digits than its factorization.

10240200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5711 (or 5699 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10240200 is about 3200.0312498474. The cubic root of 10240200 is about 217.1548230776.

Adding to 10240200 its reverse (204201), we get a palindrome (10444401).

It can be divided in two parts, 10240 and 200, that added together give a triangular number (10440 = T₁₄₄).

The spelling of 10240200 in words is "ten million, two hundred forty thousand, two hundred".