105106641 has 8 divisors (see below), whose sum is σ = 142062240. Its totient is φ = 69111072.

The previous prime is 105106543. The next prime is 105106679. The reversal of 105106641 is 146601501.

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

It is not a de Polignac number, because 105106641 - 2¹⁰ = 105105617 is a prime.

It is a super-2 number, since 2×105106641² = 22094811964605762, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105106681) 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, 239751 + ... + 240188.

It is an arithmetic number, because the mean of its divisors is an integer number (17757780).

Almost surely, 2^105106641 is an apocalyptic number.

It is an amenable number.

105106641 is a deficient number, since it is larger than the sum of its proper divisors (36955599).

105106641 is an equidigital number, since it uses as much as digits as its factorization.

105106641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480015.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105106641 is about 10252.1529933961. The cubic root of 105106641 is about 471.9290581520.

The spelling of 105106641 in words is "one hundred five million, one hundred six thousand, six hundred forty-one".