105413010220 has 48 divisors (see below), whose sum is σ = 254811352320. Its totient is φ = 35881585344.

The previous prime is 105413010203. The next prime is 105413010221. The reversal of 105413010220 is 22010314501.

It is a super-2 number, since 2×105413010220² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105413010221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2688994 + ... + 2727913.

It is an arithmetic number, because the mean of its divisors is an integer number (5308569840).

Almost surely, 2^105413010220 is an apocalyptic number.

105413010220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105413010220 is an abundant number, since it is smaller than the sum of its proper divisors (149398342100).

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

105413010220 is a wasteful number, since it uses less digits than its factorization.

105413010220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5417062 (or 5417060 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 105413010220 its reverse (22010314501), we get a palindrome (127423324721).

The spelling of 105413010220 in words is "one hundred five billion, four hundred thirteen million, ten thousand, two hundred twenty".