105580940 has 24 divisors (see below), whose sum is σ = 221922960. Its totient is φ = 42193728.

The previous prime is 105580939. The next prime is 105580949. The reversal of 105580940 is 49085501.

It is a super-2 number, since 2×105580940² = 22294669782567200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105580897 and 105580906.

It is not an unprimeable number, because it can be changed into a prime (105580949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31799 + ... + 34961.

It is an arithmetic number, because the mean of its divisors is an integer number (9246790).

Almost surely, 2^105580940 is an apocalyptic number.

105580940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105580940 is an abundant number, since it is smaller than the sum of its proper divisors (116342020).

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

105580940 is a wasteful number, since it uses less digits than its factorization.

105580940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4841 (or 4839 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 105580940 is about 10275.2586342145. The cubic root of 105580940 is about 472.6378609138.

The spelling of 105580940 in words is "one hundred five million, five hundred eighty thousand, nine hundred forty".