106667505833 has 16 divisors (see below), whose sum is σ = 122512384896. Its totient is φ = 90974499840.

The previous prime is 106667505829. The next prime is 106667505887. The reversal of 106667505833 is 338505766601.

It is not a de Polignac number, because 106667505833 - 2² = 106667505829 is a prime.

It is a super-2 number, since 2×106667505833² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106667508833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11623835 + ... + 11633007.

It is an arithmetic number, because the mean of its divisors is an integer number (7657024056).

Almost surely, 2^106667505833 is an apocalyptic number.

It is an amenable number.

106667505833 is a deficient number, since it is larger than the sum of its proper divisors (15844879063).

106667505833 is an equidigital number, since it uses as much as digits as its factorization.

106667505833 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17264.

The product of its (nonzero) digits is 2721600, while the sum is 50.

The spelling of 106667505833 in words is "one hundred six billion, six hundred sixty-seven million, five hundred five thousand, eight hundred thirty-three".