105549640 has 32 divisors (see below), whose sum is σ = 271414080. Its totient is φ = 36188352.

The previous prime is 105549629. The next prime is 105549671. The reversal of 105549640 is 46945501.

It is a super-2 number, since 2×105549640² = 22281453008259200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105549596 and 105549605.

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, 188202 + ... + 188761.

It is an arithmetic number, because the mean of its divisors is an integer number (8481690).

Almost surely, 2^105549640 is an apocalyptic number.

105549640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105549640 is an abundant number, since it is smaller than the sum of its proper divisors (165864440).

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

105549640 is a wasteful number, since it uses less digits than its factorization.

105549640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376981 (or 376977 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

The square root of 105549640 is about 10273.7354452993. The cubic root of 105549640 is about 472.5911510084.

The spelling of 105549640 in words is "one hundred five million, five hundred forty-nine thousand, six hundred forty".