105513113020 has 96 divisors (see below), whose sum is σ = 256602028032. Its totient is φ = 35697082368.

The previous prime is 105513113011. The next prime is 105513113021. The reversal of 105513113020 is 20311315501.

It is a super-2 number, since 2×105513113020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105513112982 and 105513113000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105513113021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3836157 + ... + 3863563.

It is an arithmetic number, because the mean of its divisors is an integer number (2672937792).

Almost surely, 2^105513113020 is an apocalyptic number.

105513113020 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 105513113020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128301014016).

105513113020 is an abundant number, since it is smaller than the sum of its proper divisors (151088915012).

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

105513113020 is a wasteful number, since it uses less digits than its factorization.

105513113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27787 (or 27785 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 22.

Adding to 105513113020 its reverse (20311315501), we get a palindrome (125824428521).

The spelling of 105513113020 in words is "one hundred five billion, five hundred thirteen million, one hundred thirteen thousand, twenty".