105535441 has 8 divisors (see below), whose sum is σ = 115257024. Its totient is φ = 95835120.

The previous prime is 105535427. The next prime is 105535453. The reversal of 105535441 is 144535501.

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 105535441 - 2¹⁵ = 105502673 is a prime.

It is a super-2 number, since 2×105535441² = 22275458614128962, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105535411) 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, 6156 + ... + 15778.

It is an arithmetic number, because the mean of its divisors is an integer number (14407128).

Almost surely, 2^105535441 is an apocalyptic number.

105535441 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105535441 is a deficient number, since it is larger than the sum of its proper divisors (9721583).

105535441 is an equidigital number, since it uses as much as digits as its factorization.

105535441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10631.

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 105535441 is about 10273.0443881062. The cubic root of 105535441 is about 472.5699583807.

The spelling of 105535441 in words is "one hundred five million, five hundred thirty-five thousand, four hundred forty-one".