10205130 has 64 divisors (see below), whose sum is σ = 26707968. Its totient is φ = 2480640.

The previous prime is 10205119. The next prime is 10205161. The reversal of 10205130 is 3150201.

10205130 = 880² + 881² + ... + 892².

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53335 + ... + 53525.

It is an arithmetic number, because the mean of its divisors is an integer number (417312).

Almost surely, 2^10205130 is an apocalyptic number.

10205130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10205130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13353984).

10205130 is an abundant number, since it is smaller than the sum of its proper divisors (16502838).

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

10205130 is a wasteful number, since it uses less digits than its factorization.

10205130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351.

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 10205130 is about 3194.5469162308. The cubic root of 10205130 is about 216.9066400975.

Adding to 10205130 its reverse (3150201), we get a palindrome (13355331).

The spelling of 10205130 in words is "ten million, two hundred five thousand, one hundred thirty".