10204200 has 72 divisors (see below), whose sum is σ = 34275150. Its totient is φ = 2720640.

The previous prime is 10204189. The next prime is 10204211. The reversal of 10204200 is 240201.

It is an interprime number because it is at equal distance from previous prime (10204189) and next prime (10204211).

It can be written as a sum of positive squares in 3 ways, for example, as 6260004 + 3944196 = 2502^2 + 1986^2 .

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 an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1035 + ... + 4634.

Almost surely, 2^10204200 is an apocalyptic number.

10204200 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 10204200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17137575).

10204200 is an abundant number, since it is smaller than the sum of its proper divisors (24070950).

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

10204200 is a wasteful number, since it uses less digits than its factorization.

10204200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5691 (or 5679 counting only the distinct ones).

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

The square root of 10204200 is about 3194.4013523664. The cubic root of 10204200 is about 216.9000509505.

Adding to 10204200 its reverse (240201), we get a palindrome (10444401).

It can be divided in two parts, 10204 and 200, that added together give a square (10404 = 102²).

The spelling of 10204200 in words is "ten million, two hundred four thousand, two hundred".