10107200 has 42 divisors (see below), whose sum is σ = 24873966. Its totient is φ = 4042240.

The previous prime is 10107199. The next prime is 10107203. The reversal of 10107200 is 270101.

It can be written as a sum of positive squares in 3 ways, for example, as 719104 + 9388096 = 848^2 + 3064^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10107203) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1559 + ... + 4758.

Almost surely, 2^10107200 is an apocalyptic number.

10107200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10107200 is an abundant number, since it is smaller than the sum of its proper divisors (14766766).

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

10107200 is an equidigital number, since it uses as much as digits as its factorization.

10107200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6339 (or 6324 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 11.

The square root of 10107200 is about 3179.1822848022. The cubic root of 10107200 is about 216.2105856642.

Adding to 10107200 its reverse (270101), we get a palindrome (10377301).

The spelling of 10107200 in words is "ten million, one hundred seven thousand, two hundred".