105005313020 has 12 divisors (see below), whose sum is σ = 220511157384. Its totient is φ = 42002125200.

The previous prime is 105005313019. The next prime is 105005313107. The reversal of 105005313020 is 20313500501.

It is a super-2 number, since 2×105005313020² (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), and also a Moran number because the ratio is a prime number: 5250265651 = 105005313020 / (1 + 0 + 5 + 0 + 0 + 5 + 3 + 1 + 3 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 105005312983 and 105005313001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2625132806 + ... + 2625132845.

It is an arithmetic number, because the mean of its divisors is an integer number (18375929782).

Almost surely, 2^105005313020 is an apocalyptic number.

105005313020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105005313020 is an abundant number, since it is smaller than the sum of its proper divisors (115505844364).

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

105005313020 is a wasteful number, since it uses less digits than its factorization.

105005313020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5250265660 (or 5250265658 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

Adding to 105005313020 its reverse (20313500501), we get a palindrome (125318813521).

The spelling of 105005313020 in words is "one hundred five billion, five million, three hundred thirteen thousand, twenty".