105485468420 has 12 divisors (see below), whose sum is σ = 221519483724. Its totient is φ = 42194187360.

The previous prime is 105485468381. The next prime is 105485468437. The reversal of 105485468420 is 24864584501.

It can be written as a sum of positive squares in 2 ways, for example, as 81586781956 + 23898686464 = 285634^2 + 154592^2 .

It is a super-2 number, since 2×105485468420² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2637136691 + ... + 2637136730.

It is an arithmetic number, because the mean of its divisors is an integer number (18459956977).

Almost surely, 2^105485468420 is an apocalyptic number.

105485468420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105485468420 is an abundant number, since it is smaller than the sum of its proper divisors (116034015304).

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

105485468420 is a wasteful number, since it uses less digits than its factorization.

105485468420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5274273430 (or 5274273428 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 47.

The spelling of 105485468420 in words is "one hundred five billion, four hundred eighty-five million, four hundred sixty-eight thousand, four hundred twenty".