10503790144 has 63 divisors (see below), whose sum is σ = 21828286417. Its totient is φ = 5014532864.

The previous prime is 10503790117. The next prime is 10503790147. The reversal of 10503790144 is 44109730501.

The square root of 10503790144 is 102488.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 921729600 + 9582060544 = 30360^2 + 97888^2 .

It is a super-2 number, since 2×10503790144² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10503790147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18857514 + ... + 18858070.

Almost surely, 2^10503790144 is an apocalyptic number.

10503790144 is the 102488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10503790144

10503790144 is an abundant number, since it is smaller than the sum of its proper divisors (11324496273).

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

10503790144 is an frugal number, since it uses more digits than its factorization.

10503790144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The spelling of 10503790144 in words is "ten billion, five hundred three million, seven hundred ninety thousand, one hundred forty-four".