105013323320 has 64 divisors (see below), whose sum is σ = 244973160000. Its totient is φ = 40466341888.

The previous prime is 105013323313. The next prime is 105013323439. The reversal of 105013323320 is 23323310501.

It is a super-2 number, since 2×105013323320² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420029 + ... + 621651.

It is an arithmetic number, because the mean of its divisors is an integer number (3827705625).

Almost surely, 2^105013323320 is an apocalyptic number.

105013323320 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 105013323320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122486580000).

105013323320 is an abundant number, since it is smaller than the sum of its proper divisors (139959836680).

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

105013323320 is a wasteful number, since it uses less digits than its factorization.

105013323320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202112 (or 202108 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 23.

Adding to 105013323320 its reverse (23323310501), we get a palindrome (128336633821).

The spelling of 105013323320 in words is "one hundred five billion, thirteen million, three hundred twenty-three thousand, three hundred twenty".