10107205 has 12 divisors (see below), whose sum is σ = 12332556. Its totient is φ = 7952000.

The previous prime is 10107203. The next prime is 10107211. The reversal of 10107205 is 50270101.

10107205 = T₃₈ + T₃₉ + ... + T₃₉₂.

It can be written as a sum of positive squares in 2 ways, for example, as 7667361 + 2439844 = 2769^2 + 1562^2 .

It is not a de Polignac number, because 10107205 - 2¹ = 10107203 is a prime.

It is a Duffinian number.

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

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25005 + ... + 25405.

It is an arithmetic number, because the mean of its divisors is an integer number (1027713).

Almost surely, 2^10107205 is an apocalyptic number.

It is an amenable number.

10107205 is a deficient number, since it is larger than the sum of its proper divisors (2225351).

10107205 is an frugal number, since it uses more digits than its factorization.

10107205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 16.

The square root of 10107205 is about 3179.1830711678. The cubic root of 10107205 is about 216.2106213171.

Adding to 10107205 its reverse (50270101), we get a palindrome (60377306).

The spelling of 10107205 in words is "ten million, one hundred seven thousand, two hundred five".