106411041 has 48 divisors (see below), whose sum is σ = 185328000. Its totient is φ = 58037760.

The previous prime is 106411009. The next prime is 106411061. The reversal of 106411041 is 140114601.

106411041 is a `hidden beast` number, since 10 + 641 + 10 + 4 + 1 = 666.

It is not a de Polignac number, because 106411041 - 2⁵ = 106411009 is a prime.

It is a super-2 number, since 2×106411041² = 22646619293407362, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106411061) 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 47 ways as a sum of consecutive naturals, for example, 37335 + ... + 40083.

It is an arithmetic number, because the mean of its divisors is an integer number (3861000).

Almost surely, 2^106411041 is an apocalyptic number.

106411041 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

106411041 is a deficient number, since it is larger than the sum of its proper divisors (78916959).

106411041 is a wasteful number, since it uses less digits than its factorization.

106411041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2806 (or 2803 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 106411041 is about 10315.5727422184. The cubic root of 106411041 is about 473.8732903846.

Adding to 106411041 its reverse (140114601), we get a palindrome (246525642).

The spelling of 106411041 in words is "one hundred six million, four hundred eleven thousand, forty-one".