105645843760 has 40 divisors (see below), whose sum is σ = 245959101360. Its totient is φ = 42201130752.

The previous prime is 105645843731. The next prime is 105645843829. The reversal of 105645843760 is 67348546501.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×105645843760² (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 7 ways as a sum of consecutive naturals, for example, 834367 + ... + 952606.

It is an arithmetic number, because the mean of its divisors is an integer number (6148977534).

Almost surely, 2^105645843760 is an apocalyptic number.

105645843760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105645843760 is an abundant number, since it is smaller than the sum of its proper divisors (140313257600).

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

105645843760 is a wasteful number, since it uses less digits than its factorization.

105645843760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1787725 (or 1787719 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 49.

The spelling of 105645843760 in words is "one hundred five billion, six hundred forty-five million, eight hundred forty-three thousand, seven hundred sixty".