105415040020 has 24 divisors (see below), whose sum is σ = 229005088200. Its totient is φ = 40712015232.

The previous prime is 105415040011. The next prime is 105415040047. The reversal of 105415040020 is 20040514501.

It can be written as a sum of positive squares in 4 ways, for example, as 9640883344 + 95774156676 = 98188^2 + 309474^2 .

It is a super-2 number, since 2×105415040020² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105415039973 and 105415040000.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 90874455 + ... + 90875614.

It is an arithmetic number, because the mean of its divisors is an integer number (9541878675).

Almost surely, 2^105415040020 is an apocalyptic number.

105415040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105415040020 is an abundant number, since it is smaller than the sum of its proper divisors (123590048180).

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

105415040020 is a wasteful number, since it uses less digits than its factorization.

105415040020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181750107 (or 181750105 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 22.

Adding to 105415040020 its reverse (20040514501), we get a palindrome (125455554521).

The spelling of 105415040020 in words is "one hundred five billion, four hundred fifteen million, forty thousand, twenty".