105461641 has 8 divisors (see below), whose sum is σ = 106843464. Its totient is φ = 104088960.

The previous prime is 105461627. The next prime is 105461687. The reversal of 105461641 is 146164501.

It can be written as a sum of positive squares in 4 ways, for example, as 1849600 + 103612041 = 1360^2 + 10179^2 .

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 105461641 - 2¹¹ = 105459593 is a prime.

It is a super-2 number, since 2×105461641² = 22244315444825762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105461611) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22671 + ... + 26923.

It is an arithmetic number, because the mean of its divisors is an integer number (13355433).

Almost surely, 2^105461641 is an apocalyptic number.

It is an amenable number.

105461641 is a deficient number, since it is larger than the sum of its proper divisors (1381823).

105461641 is a wasteful number, since it uses less digits than its factorization.

105461641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4571.

The product of its (nonzero) digits is 2880, while the sum is 28.

The square root of 105461641 is about 10269.4518354195. The cubic root of 105461641 is about 472.4597780306.

The spelling of 105461641 in words is "one hundred five million, four hundred sixty-one thousand, six hundred forty-one".