10205136 has 40 divisors (see below), whose sum is σ = 29293760. Its totient is φ = 3401568.

The previous prime is 10205119. The next prime is 10205161. The reversal of 10205136 is 63150201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11380 + ... + 12243.

It is an arithmetic number, because the mean of its divisors is an integer number (732344).

Almost surely, 2^10205136 is an apocalyptic number.

10205136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10205136 is an abundant number, since it is smaller than the sum of its proper divisors (19088624).

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

10205136 is a wasteful number, since it uses less digits than its factorization.

10205136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23640 (or 23628 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 10205136 is about 3194.5478553310. The cubic root of 10205136 is about 216.9066826068.

Adding to 10205136 its reverse (63150201), we get a palindrome (73355337).

The spelling of 10205136 in words is "ten million, two hundred five thousand, one hundred thirty-six".