105382713837460 has 24 divisors (see below), whose sum is σ = 222145158001536. Its totient is φ = 41992807641120.

The previous prime is 105382713837449. The next prime is 105382713837463. The reversal of 105382713837460 is 64738317283501.

It is a super-2 number, since 2×105382713837460² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105382713837395 and 105382713837404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105382713837463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10017362976 + ... + 10017373495.

It is an arithmetic number, because the mean of its divisors is an integer number (9256048250064).

Almost surely, 2^{105382713837460} is an apocalyptic number.

105382713837460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105382713837460 is an abundant number, since it is smaller than the sum of its proper divisors (116762444164076).

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

105382713837460 is a wasteful number, since it uses less digits than its factorization.

105382713837460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20034736743 (or 20034736741 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 58.

The spelling of 105382713837460 in words is "one hundred five trillion, three hundred eighty-two billion, seven hundred thirteen million, eight hundred thirty-seven thousand, four hundred sixty".