10145320164 has 144 divisors (see below), whose sum is σ = 29979331200. Its totient is φ = 2832952320.

The previous prime is 10145320151. The next prime is 10145320169. The reversal of 10145320164 is 46102354101.

It is a happy number.

10145320164 is a `hidden beast` number, since 1 + 0 + 1 + 453 + 201 + 6 + 4 = 666.

10145320164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10145320169) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 2503612 + ... + 2507660.

It is an arithmetic number, because the mean of its divisors is an integer number (208189800).

Almost surely, 2^10145320164 is an apocalyptic number.

10145320164 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 10145320164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14989665600).

10145320164 is an abundant number, since it is smaller than the sum of its proper divisors (19834011036).

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

10145320164 is a wasteful number, since it uses less digits than its factorization.

10145320164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4290 (or 4285 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 10145320164 its reverse (46102354101), we get a palindrome (56247674265).

The spelling of 10145320164 in words is "ten billion, one hundred forty-five million, three hundred twenty thousand, one hundred sixty-four".