105300011434120 has 32 divisors (see below), whose sum is σ = 236933223874200. Its totient is φ = 42118547125248.

The previous prime is 105300011434063. The next prime is 105300011434133. The reversal of 105300011434120 is 21434110003501.

It can be written as a sum of positive squares in 4 ways, for example, as 95522045037444 + 9777966396676 = 9773538^2 + 3126974^2 .

It is a super-2 number, since 2×105300011434120² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44374449 + ... + 46687168.

Almost surely, 2^{105300011434120} is an apocalyptic number.

105300011434120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105300011434120 is an abundant number, since it is smaller than the sum of its proper divisors (131633212440080).

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

105300011434120 is a wasteful number, since it uses less digits than its factorization.

105300011434120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91090537 (or 91090533 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

Adding to 105300011434120 its reverse (21434110003501), we get a palindrome (126734121437621).

The spelling of 105300011434120 in words is "one hundred five trillion, three hundred billion, eleven million, four hundred thirty-four thousand, one hundred twenty".