10204105344 has 128 divisors (see below), whose sum is σ = 28579502400. Its totient is φ = 3216900096.

The previous prime is 10204105339. The next prime is 10204105357. The reversal of 10204105344 is 44350140201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8411682 + ... + 8412894.

Almost surely, 2^10204105344 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 10204105344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14289751200).

10204105344 is an abundant number, since it is smaller than the sum of its proper divisors (18375397056).

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

10204105344 is a wasteful number, since it uses less digits than its factorization.

10204105344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2402 (or 2390 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

Adding to 10204105344 its reverse (44350140201), we get a palindrome (54554245545).

The spelling of 10204105344 in words is "ten billion, two hundred four million, one hundred five thousand, three hundred forty-four".