105684345 has 48 divisors (see below), whose sum is σ = 204614592. Its totient is φ = 52021440.

The previous prime is 105684343. The next prime is 105684361. The reversal of 105684345 is 543486501.

It is a happy number.

105684345 is a `hidden beast` number, since 10 + 568 + 43 + 45 = 666.

It is not a de Polignac number, because 105684345 - 2¹ = 105684343 is a prime.

It is a super-2 number, since 2×105684345² = 22338361556158050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105684343) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12450 + ... + 19140.

It is an arithmetic number, because the mean of its divisors is an integer number (4262804).

Almost surely, 2^105684345 is an apocalyptic number.

105684345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105684345 is a deficient number, since it is larger than the sum of its proper divisors (98930247).

105684345 is an equidigital number, since it uses as much as digits as its factorization.

105684345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6724 (or 6712 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 105684345 is about 10280.2891496300. The cubic root of 105684345 is about 472.7921096238.

The spelling of 105684345 in words is "one hundred five million, six hundred eighty-four thousand, three hundred forty-five".