105680641 has 16 divisors (see below), whose sum is σ = 123183360. Its totient is φ = 89646480.

The previous prime is 105680639. The next prime is 105680671. The reversal of 105680641 is 146086501.

It is not a de Polignac number, because 105680641 - 2¹ = 105680639 is a prime.

It is a super-2 number, since 2×105680641² = 22336795764341762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105680671) 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 15 ways as a sum of consecutive naturals, for example, 10230 + ... + 17776.

It is an arithmetic number, because the mean of its divisors is an integer number (7698960).

Almost surely, 2^105680641 is an apocalyptic number.

105680641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105680641 is a deficient number, since it is larger than the sum of its proper divisors (17502719).

105680641 is a wasteful number, since it uses less digits than its factorization.

105680641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7644.

The product of its (nonzero) digits is 5760, while the sum is 31.

The square root of 105680641 is about 10280.1089974766. The cubic root of 105680641 is about 472.7865861238.

The spelling of 105680641 in words is "one hundred five million, six hundred eighty thousand, six hundred forty-one".