10434020200 has 96 divisors (see below), whose sum is σ = 25521804000. Its totient is φ = 3961260800.

The previous prime is 10434020137. The next prime is 10434020209. The reversal of 10434020200 is 202043401.

10434020200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10434020209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 326955 + ... + 357445.

It is an arithmetic number, because the mean of its divisors is an integer number (265852125).

Almost surely, 2^10434020200 is an apocalyptic number.

10434020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10434020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12760902000).

10434020200 is an abundant number, since it is smaller than the sum of its proper divisors (15087783800).

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

10434020200 is a wasteful number, since it uses less digits than its factorization.

10434020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30595 (or 30586 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 10434020200 its reverse (202043401), we get a palindrome (10636063601).

The spelling of 10434020200 in words is "ten billion, four hundred thirty-four million, twenty thousand, two hundred".