106784226133 has 16 divisors (see below), whose sum is σ = 115232642560. Its totient is φ = 98369489664.

The previous prime is 106784226089. The next prime is 106784226137. The reversal of 106784226133 is 331622487601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106784226133 is a prime.

It is a super-2 number, since 2×106784226133² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106784226133.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106784226137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15927460 + ... + 15934162.

It is an arithmetic number, because the mean of its divisors is an integer number (7202040160).

Almost surely, 2^106784226133 is an apocalyptic number.

106784226133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106784226133 is a deficient number, since it is larger than the sum of its proper divisors (8448416427).

106784226133 is a wasteful number, since it uses less digits than its factorization.

106784226133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9028.

The product of its (nonzero) digits is 290304, while the sum is 43.

The spelling of 106784226133 in words is "one hundred six billion, seven hundred eighty-four million, two hundred twenty-six thousand, one hundred thirty-three".