105111353020 has 48 divisors (see below), whose sum is σ = 221989114368. Its totient is φ = 41805642240.

The previous prime is 105111353003. The next prime is 105111353027. The reversal of 105111353020 is 20353111501.

It is a super-2 number, since 2×105111353020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105111352982 and 105111353000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105111353027) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 11138224 + ... + 11147656.

It is an arithmetic number, because the mean of its divisors is an integer number (4624773216).

Almost surely, 2^105111353020 is an apocalyptic number.

105111353020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105111353020 is an abundant number, since it is smaller than the sum of its proper divisors (116877761348).

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

105111353020 is a wasteful number, since it uses less digits than its factorization.

105111353020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12550 (or 12548 counting only the distinct ones).

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

Adding to 105111353020 its reverse (20353111501), we get a palindrome (125464464521).

The spelling of 105111353020 in words is "one hundred five billion, one hundred eleven million, three hundred fifty-three thousand, twenty".