10712205 has 48 divisors (see below), whose sum is σ = 21924864. Its totient is φ = 4734720.

The previous prime is 10712189. The next prime is 10712213. The reversal of 10712205 is 50221701.

10712205 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10712205 - 2⁴ = 10712189 is a prime.

It is a super-2 number, since 2×10712205² = 229502671924050, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9217 + ... + 10313.

It is an arithmetic number, because the mean of its divisors is an integer number (456768).

Almost surely, 2^10712205 is an apocalyptic number.

10712205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10712205 is an abundant number, since it is smaller than the sum of its proper divisors (11212659).

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

10712205 is a wasteful number, since it uses less digits than its factorization.

10712205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 10712205 is about 3272.9505037504. The cubic root of 10712205 is about 220.4412974064.

Adding to 10712205 its reverse (50221701), we get a palindrome (60933906).

It can be divided in two parts, 1071220 and 5, that added together give a square (1071225 = 1035²).

The spelling of 10712205 in words is "ten million, seven hundred twelve thousand, two hundred five".