105649340 has 24 divisors (see below), whose sum is σ = 223903680. Its totient is φ = 41871168.

The previous prime is 105649321. The next prime is 105649343. The reversal of 105649340 is 43946501.

It is a super-2 number, since 2×105649340² = 22323566084871200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105649297 and 105649306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105649343) 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, 22052 + ... + 26411.

It is an arithmetic number, because the mean of its divisors is an integer number (9329320).

Almost surely, 2^105649340 is an apocalyptic number.

105649340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105649340 is an abundant number, since it is smaller than the sum of its proper divisors (118254340).

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

105649340 is a wasteful number, since it uses less digits than its factorization.

105649340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48581 (or 48579 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 105649340 is about 10278.5864786944. The cubic root of 105649340 is about 472.7399041138.

The spelling of 105649340 in words is "one hundred five million, six hundred forty-nine thousand, three hundred forty".