10145031220344 has 128 divisors (see below), whose sum is σ = 27390364876800. Its totient is φ = 3122129028480.

The previous prime is 10145031220283. The next prime is 10145031220399. The reversal of 10145031220344 is 44302213054101.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5779927 + ... + 7327865.

It is an arithmetic number, because the mean of its divisors is an integer number (213987225600).

Almost surely, 2^{10145031220344} 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 10145031220344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13695182438400).

10145031220344 is an abundant number, since it is smaller than the sum of its proper divisors (17245333656456).

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

10145031220344 is a wasteful number, since it uses less digits than its factorization.

10145031220344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1548385 (or 1548381 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 10145031220344 its reverse (44302213054101), we get a palindrome (54447244274445).

The spelling of 10145031220344 in words is "ten trillion, one hundred forty-five billion, thirty-one million, two hundred twenty thousand, three hundred forty-four".