10338106000 has 40 divisors (see below), whose sum is σ = 24997545144. Its totient is φ = 4135241600.

The previous prime is 10338105997. The next prime is 10338106063. The reversal of 10338106000 is 60183301.

It can be written as a sum of positive squares in 4 ways, for example, as 50466816 + 10287639184 = 7104^2 + 101428^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 2582527 + ... + 2586526.

Almost surely, 2^10338106000 is an apocalyptic number.

10338106000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10338106000 is an abundant number, since it is smaller than the sum of its proper divisors (14659439144).

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

10338106000 is an equidigital number, since it uses as much as digits as its factorization.

10338106000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169076 (or 5169060 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 10338106000 its reverse (60183301), we get a palindrome (10398289301).

The spelling of 10338106000 in words is "ten billion, three hundred thirty-eight million, one hundred six thousand".