10315103456144 has 20 divisors (see below), whose sum is σ = 20119643910300. Its totient is φ = 5122937285760.

The previous prime is 10315103456131. The next prime is 10315103456153. The reversal of 10315103456144 is 44165430151301.

It can be written as a sum of positive squares in 2 ways, for example, as 4604972646400 + 5710130809744 = 2145920^2 + 2389588^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10315103456098 and 10315103456107.

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 3 ways as a sum of consecutive naturals, for example, 2163400187 + ... + 2163404954.

It is an arithmetic number, because the mean of its divisors is an integer number (1005982195515).

Almost surely, 2^{10315103456144} is an apocalyptic number.

It is an amenable number.

10315103456144 is a deficient number, since it is larger than the sum of its proper divisors (9804540454156).

10315103456144 is a wasteful number, since it uses less digits than its factorization.

10315103456144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4326805298 (or 4326805292 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 10315103456144 in words is "ten trillion, three hundred fifteen billion, one hundred three million, four hundred fifty-six thousand, one hundred forty-four".