105209841 has 8 divisors (see below), whose sum is σ = 153032544. Its totient is φ = 63763520.

The previous prime is 105209831. The next prime is 105209861. The reversal of 105209841 is 148902501.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105209841 - 2⁵ = 105209809 is a prime.

It is a super-2 number, since 2×105209841² = 22138221286490562, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105209799 and 105209808.

It is not an unprimeable number, because it can be changed into a prime (105209831) 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, 1594056 + ... + 1594121.

It is an arithmetic number, because the mean of its divisors is an integer number (19129068).

Almost surely, 2^105209841 is an apocalyptic number.

105209841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105209841 is a deficient number, since it is larger than the sum of its proper divisors (47822703).

105209841 is a wasteful number, since it uses less digits than its factorization.

105209841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3188191.

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 105209841 is about 10257.1848477055. The cubic root of 105209841 is about 472.0834637067.

The spelling of 105209841 in words is "one hundred five million, two hundred nine thousand, eight hundred forty-one".