105105641 has 8 divisors (see below), whose sum is σ = 108465984. Its totient is φ = 101772720.

The previous prime is 105105617. The next prime is 105105659. The reversal of 105105641 is 146501501.

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 105105641 - 2¹⁰ = 105104617 is a prime.

It is a super-2 number, since 2×105105641² = 22094391540041762, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105101641) 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, 1076 + ... + 14538.

It is an arithmetic number, because the mean of its divisors is an integer number (13558248).

Almost surely, 2^105105641 is an apocalyptic number.

It is an amenable number.

105105641 is a deficient number, since it is larger than the sum of its proper divisors (3360343).

105105641 is a wasteful number, since it uses less digits than its factorization.

105105641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13711.

The product of its (nonzero) digits is 600, while the sum is 23.

The square root of 105105641 is about 10252.1042230364. The cubic root of 105105641 is about 471.9275614798.

The spelling of 105105641 in words is "one hundred five million, one hundred five thousand, six hundred forty-one".