10200433104 has 120 divisors (see below), whose sum is σ = 28846981800. Its totient is φ = 3364623360.

The previous prime is 10200433069. The next prime is 10200433127. The reversal of 10200433104 is 40133400201.

It can be written as a sum of positive squares in 4 ways, for example, as 210830400 + 9989602704 = 14520^2 + 99948^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5967802 + ... + 5969510.

It is an arithmetic number, because the mean of its divisors is an integer number (240391515).

Almost surely, 2^10200433104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10200433104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14423490900).

10200433104 is an abundant number, since it is smaller than the sum of its proper divisors (18646548696).

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

10200433104 is a wasteful number, since it uses less digits than its factorization.

10200433104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2133 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 10200433104 its reverse (40133400201), we get a palindrome (50333833305).

The spelling of 10200433104 in words is "ten billion, two hundred million, four hundred thirty-three thousand, one hundred four".