10242200 has 48 divisors (see below), whose sum is σ = 24139080. Its totient is φ = 4040960.

The previous prime is 10242187. The next prime is 10242233. The reversal of 10242200 is 224201.

10242200 = T₂₆₅ + T₂₆₆ + ... + T₄₃₀.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16292 + ... + 16908.

Almost surely, 2^10242200 is an apocalyptic number.

10242200 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 10242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12069540).

10242200 is an abundant number, since it is smaller than the sum of its proper divisors (13896880).

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

10242200 is a wasteful number, since it uses less digits than its factorization.

10242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 10242200 is about 3200.3437315388. The cubic root of 10242200 is about 217.1689595650.

Adding to 10242200 its reverse (224201), we get a palindrome (10466401).

The spelling of 10242200 in words is "ten million, two hundred forty-two thousand, two hundred".