106565664304011 has 32 divisors (see below), whose sum is σ = 155239254051840. Its totient is φ = 64487489079200.

The previous prime is 106565664303997. The next prime is 106565664304091. The reversal of 106565664304011 is 110403466565601.

It is not a de Polignac number, because 106565664304011 - 2¹¹ = 106565664301963 is a prime.

It is a super-2 number, since 2×106565664304011² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106565664304091) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 501589396 + ... + 501801806.

It is an arithmetic number, because the mean of its divisors is an integer number (4851226689120).

Almost surely, 2^{106565664304011} is an apocalyptic number.

106565664304011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106565664304011 is a deficient number, since it is larger than the sum of its proper divisors (48673589747829).

106565664304011 is a wasteful number, since it uses less digits than its factorization.

106565664304011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235367.

The product of its (nonzero) digits is 1555200, while the sum is 48.

The spelling of 106565664304011 in words is "one hundred six trillion, five hundred sixty-five billion, six hundred sixty-four million, three hundred four thousand, eleven".