106955831333 has 16 divisors (see below), whose sum is σ = 118056647856. Its totient is φ = 96268124160.

The previous prime is 106955831321. The next prime is 106955831417. The reversal of 106955831333 is 333138559601.

It can be written as a sum of positive squares in 8 ways, for example, as 33340203649 + 73615627684 = 182593^2 + 271322^2 .

It is not a de Polignac number, because 106955831333 - 2¹⁶ = 106955765797 is a prime.

It is a super-2 number, since 2×106955831333² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106955834333) 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, 944741 + ... + 1051877.

It is an arithmetic number, because the mean of its divisors is an integer number (7378540491).

Almost surely, 2^106955831333 is an apocalyptic number.

106955831333 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106955831333 is a deficient number, since it is larger than the sum of its proper divisors (11100816523).

106955831333 is a wasteful number, since it uses less digits than its factorization.

106955831333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109064.

The product of its (nonzero) digits is 874800, while the sum is 47.

The spelling of 106955831333 in words is "one hundred six billion, nine hundred fifty-five million, eight hundred thirty-one thousand, three hundred thirty-three".