10002145320 has 192 divisors, whose sum is σ = 33002424000. Its totient is φ = 2626919424.

The previous prime is 10002145289. The next prime is 10002145331. The reversal of 10002145320 is 2354120001.

It is a super-2 number, since 2×10002145320² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10002145293 and 10002145302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6854751 + ... + 6856209.

It is an arithmetic number, because the mean of its divisors is an integer number (171887625).

Almost surely, 2^10002145320 is an apocalyptic number.

10002145320 is a gapful number since it is divisible by the number (10) 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 10002145320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16501212000).

10002145320 is an abundant number, since it is smaller than the sum of its proper divisors (23000278680).

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

10002145320 is a wasteful number, since it uses less digits than its factorization.

10002145320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1752 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

Adding to 10002145320 its reverse (2354120001), we get a palindrome (12356265321).

The spelling of 10002145320 in words is "ten billion, two million, one hundred forty-five thousand, three hundred twenty".