10145205 has 72 divisors (see below), whose sum is σ = 21127392. Its totient is φ = 4487616.

The previous prime is 10145197. The next prime is 10145249. The reversal of 10145205 is 50254101.

It is not a de Polignac number, because 10145205 - 2³ = 10145197 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 94762 + ... + 94868.

It is an arithmetic number, because the mean of its divisors is an integer number (293436).

Almost surely, 2^10145205 is an apocalyptic number.

10145205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10145205 is an abundant number, since it is smaller than the sum of its proper divisors (10982187).

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

10145205 is a wasteful number, since it uses less digits than its factorization.

10145205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 10145205 is about 3185.1538424384. The cubic root of 10145205 is about 216.4812443861.

Adding to 10145205 its reverse (50254101), we get a palindrome (60399306).

The spelling of 10145205 in words is "ten million, one hundred forty-five thousand, two hundred five".