10205109 has 30 divisors (see below), whose sum is σ = 16135350. Its totient is φ = 6426864.

The previous prime is 10205101. The next prime is 10205113. The reversal of 10205109 is 90150201.

It can be written as a sum of positive squares in only one way, i.e., 9474084 + 731025 = 3078^2 + 855^2 .

It is not a de Polignac number, because 10205109 - 2³ = 10205101 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10205091 and 10205100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10205101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29067 + ... + 29415.

It is an arithmetic number, because the mean of its divisors is an integer number (537845).

Almost surely, 2^10205109 is an apocalyptic number.

10205109 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

10205109 is a deficient number, since it is larger than the sum of its proper divisors (5930241).

10205109 is an equidigital number, since it uses as much as digits as its factorization.

10205109 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 10205109 is about 3194.5436293781. The cubic root of 10205109 is about 216.9064913147.

The spelling of 10205109 in words is "ten million, two hundred five thousand, one hundred nine".