10325110416 has 160 divisors (see below), whose sum is σ = 28549065600. Its totient is φ = 3206246400.

The previous prime is 10325110409. The next prime is 10325110427. The reversal of 10325110416 is 61401152301.

It is a happy number.

10325110416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18145780 + ... + 18146348.

It is an arithmetic number, because the mean of its divisors is an integer number (178431660).

Almost surely, 2^10325110416 is an apocalyptic number.

10325110416 is a gapful number since it is divisible by the number (16) 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 10325110416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14274532800).

10325110416 is an abundant number, since it is smaller than the sum of its proper divisors (18223955184).

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

10325110416 is a wasteful number, since it uses less digits than its factorization.

10325110416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 891 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

Adding to 10325110416 its reverse (61401152301), we get a palindrome (71726262717).

The spelling of 10325110416 in words is "ten billion, three hundred twenty-five million, one hundred ten thousand, four hundred sixteen".