10205988 has 24 divisors (see below), whose sum is σ = 25646208. Its totient is φ = 3140256.

The previous prime is 10205963. The next prime is 10205989. The reversal of 10205988 is 88950201.

It is a happy number.

It is a super-2 number, since 2×10205988² = 208324382112288, which contains 22 as substring.

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

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32556 + ... + 32867.

It is an arithmetic number, because the mean of its divisors is an integer number (1068592).

Almost surely, 2^10205988 is an apocalyptic number.

It is an amenable number.

10205988 is an abundant number, since it is smaller than the sum of its proper divisors (15440220).

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

10205988 is a wasteful number, since it uses less digits than its factorization.

10205988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65443 (or 65441 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 10205988 is about 3194.6812047527. The cubic root of 10205988 is about 216.9127187619.

The spelling of 10205988 in words is "ten million, two hundred five thousand, nine hundred eighty-eight".