10205987 has 6 divisors (see below), whose sum is σ = 11218284. Its totient is φ = 9278060.

The previous prime is 10205963. The next prime is 10205989. The reversal of 10205987 is 78950201.

It is not a de Polignac number, because 10205987 - 2⁸ = 10205731 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10205989) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42053 + ... + 42294.

It is an arithmetic number, because the mean of its divisors is an integer number (1869714).

Almost surely, 2^10205987 is an apocalyptic number.

10205987 is a deficient number, since it is larger than the sum of its proper divisors (1012297).

10205987 is an equidigital number, since it uses as much as digits as its factorization.

10205987 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84369 (or 84358 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 32.

The square root of 10205987 is about 3194.6810482425. The cubic root of 10205987 is about 216.9127116774.

It can be divided in two parts, 1020 and 5987, that added together give a palindrome (7007).

The spelling of 10205987 in words is "ten million, two hundred five thousand, nine hundred eighty-seven".