106004416111 has 16 divisors (see below), whose sum is σ = 121776145920. Its totient is φ = 91332061920.

The previous prime is 106004416061. The next prime is 106004416117. The reversal of 106004416111 is 111614400601.

It is a happy number.

It is not a de Polignac number, because 106004416111 - 2¹¹ = 106004414063 is a prime.

It is a super-2 number, since 2×106004416111² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106004416117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1894395 + ... + 1949548.

It is an arithmetic number, because the mean of its divisors is an integer number (7611009120).

Almost surely, 2^106004416111 is an apocalyptic number.

106004416111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106004416111 is a deficient number, since it is larger than the sum of its proper divisors (15771729809).

106004416111 is a wasteful number, since it uses less digits than its factorization.

106004416111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844086.

The product of its (nonzero) digits is 576, while the sum is 25.

Adding to 106004416111 its reverse (111614400601), we get a palindrome (217618816712).

The spelling of 106004416111 in words is "one hundred six billion, four million, four hundred sixteen thousand, one hundred eleven".