106005011966 has 32 divisors (see below), whose sum is σ = 182550551040. Its totient is φ = 45224063136.

The previous prime is 106005011939. The next prime is 106005011999. The reversal of 106005011966 is 669110500601.

It is a super-2 number, since 2×106005011966² (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5251505 + ... + 5271651.

It is an arithmetic number, because the mean of its divisors is an integer number (5704704720).

Almost surely, 2^106005011966 is an apocalyptic number.

106005011966 is a deficient number, since it is larger than the sum of its proper divisors (76545539074).

106005011966 is a wasteful number, since it uses less digits than its factorization.

106005011966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21848.

The product of its (nonzero) digits is 9720, while the sum is 35.

The spelling of 106005011966 in words is "one hundred six billion, five million, eleven thousand, nine hundred sixty-six".