10205710205 has 6 divisors (see below), whose sum is σ = 12247123326. Its totient is φ = 8164387448.

The previous prime is 10205710153. The next prime is 10205710219. The reversal of 10205710205 is 50201750201.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 8164568164 + 2041142041 = 90358^2 + 45179^2 .

It is not a de Polignac number, because 10205710205 - 2¹² = 10205706109 is a prime.

It is a super-2 number, since 2×10205710205² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 203306 + ... + 248484.

It is an arithmetic number, because the mean of its divisors is an integer number (2041187221).

Almost surely, 2^10205710205 is an apocalyptic number.

It is an amenable number.

10205710205 is a deficient number, since it is larger than the sum of its proper divisors (2041413121).

10205710205 is an frugal number, since it uses more digits than its factorization.

10205710205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90363 (or 45184 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 23.

The spelling of 10205710205 in words is "ten billion, two hundred five million, seven hundred ten thousand, two hundred five".