10204310144 has 64 divisors (see below), whose sum is σ = 23292360960. Its totient is φ = 4362107904.

The previous prime is 10204310113. The next prime is 10204310161. The reversal of 10204310144 is 44101340201.

It is a tau number, because it is divible by the number of its divisors (64).

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, 341369 + ... + 370055.

It is an arithmetic number, because the mean of its divisors is an integer number (363943140).

Almost surely, 2^10204310144 is an apocalyptic number.

10204310144 is a gapful number since it is divisible by the number (14) 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 10204310144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11646180480).

10204310144 is an abundant number, since it is smaller than the sum of its proper divisors (13088050816).

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

10204310144 is an equidigital number, since it uses as much as digits as its factorization.

10204310144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29105 (or 29093 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10204310144 its reverse (44101340201), we get a palindrome (54305650345).

The spelling of 10204310144 in words is "ten billion, two hundred four million, three hundred ten thousand, one hundred forty-four".