10205330010 has 64 divisors (see below), whose sum is σ = 26634500352. Its totient is φ = 2492107776.

The previous prime is 10205329997. The next prime is 10205330011. The reversal of 10205330010 is 1003350201.

It is a happy number.

It is a super-2 number, since 2×10205330010² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10205330011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251542 + ... + 289281.

It is an arithmetic number, because the mean of its divisors is an integer number (416164068).

Almost surely, 2^10205330010 is an apocalyptic number.

10205330010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10205330010 is an abundant number, since it is smaller than the sum of its proper divisors (16429170342).

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

10205330010 is a wasteful number, since it uses less digits than its factorization.

10205330010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540887.

The product of its (nonzero) digits is 90, while the sum is 15.

Adding to 10205330010 its reverse (1003350201), we get a palindrome (11208680211).

The spelling of 10205330010 in words is "ten billion, two hundred five million, three hundred thirty thousand, ten".