105260814220 has 48 divisors (see below), whose sum is σ = 231473813760. Its totient is φ = 40131343296.

The previous prime is 105260814199. The next prime is 105260814229. The reversal of 105260814220 is 22418062501.

It is a super-2 number, since 2×105260814220² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105260814229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 274110 + ... + 534469.

It is an arithmetic number, because the mean of its divisors is an integer number (4822371120).

Almost surely, 2^105260814220 is an apocalyptic number.

105260814220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105260814220 is an abundant number, since it is smaller than the sum of its proper divisors (126212999540).

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

105260814220 is a wasteful number, since it uses less digits than its factorization.

105260814220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808894 (or 808892 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

Adding to 105260814220 its reverse (22418062501), we get a palindrome (127678876721).

The spelling of 105260814220 in words is "one hundred five billion, two hundred sixty million, eight hundred fourteen thousand, two hundred twenty".