105002313320 has 64 divisors (see below), whose sum is σ = 242989016400. Its totient is φ = 40807065600.

The previous prime is 105002313313. The next prime is 105002313323. The reversal of 105002313320 is 23313200501.

It can be written as a sum of positive squares in 8 ways, for example, as 73596093796 + 31406219524 = 271286^2 + 177218^2 .

It is a super-2 number, since 2×105002313320² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 105002313292 and 105002313301.

It is not an unprimeable number, because it can be changed into a prime (105002313323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986876 + ... + 1088084.

Almost surely, 2^105002313320 is an apocalyptic number.

105002313320 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 105002313320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121494508200).

105002313320 is an abundant number, since it is smaller than the sum of its proper divisors (137986703080).

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

105002313320 is a wasteful number, since it uses less digits than its factorization.

105002313320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101958 (or 101954 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

Adding to 105002313320 its reverse (23313200501), we get a palindrome (128315513821).

The spelling of 105002313320 in words is "one hundred five billion, two million, three hundred thirteen thousand, three hundred twenty".