10205132 has 18 divisors (see below), whose sum is σ = 20775132. Its totient is φ = 4373544.

The previous prime is 10205119. The next prime is 10205161. The reversal of 10205132 is 23150201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 25838 + ... + 26229.

It is an arithmetic number, because the mean of its divisors is an integer number (1154174).

Almost surely, 2^10205132 is an apocalyptic number.

It is an amenable number.

10205132 is an abundant number, since it is smaller than the sum of its proper divisors (10570000).

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

10205132 is a wasteful number, since it uses less digits than its factorization.

10205132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52085 (or 52076 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 10205132 is about 3194.5472292643. The cubic root of 10205132 is about 216.9066542673.

Adding to 10205132 its reverse (23150201), we get a palindrome (33355333).

The spelling of 10205132 in words is "ten million, two hundred five thousand, one hundred thirty-two".