105483370460 has 96 divisors (see below), whose sum is σ = 252007156800. Its totient is φ = 36766033920.

The previous prime is 105483370451. The next prime is 105483370511. The reversal of 105483370460 is 64073384501.

105483370460 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105483370460² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1350146 + ... + 1426134.

It is an arithmetic number, because the mean of its divisors is an integer number (2625074550).

Almost surely, 2^105483370460 is an apocalyptic number.

105483370460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105483370460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126003578400).

105483370460 is an abundant number, since it is smaller than the sum of its proper divisors (146523786340).

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

105483370460 is a wasteful number, since it uses less digits than its factorization.

105483370460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76311 (or 76309 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 105483370460 in words is "one hundred five billion, four hundred eighty-three million, three hundred seventy thousand, four hundred sixty".