106331026743 has 24 divisors (see below), whose sum is σ = 164234084976. Its totient is φ = 66056928000.

The previous prime is 106331026729. The next prime is 106331026819. The reversal of 106331026743 is 347620133601.

106331026743 is a `hidden beast` number, since 1 + 0 + 633 + 10 + 2 + 6 + 7 + 4 + 3 = 666.

It is not a de Polignac number, because 106331026743 - 2⁶ = 106331026679 is a prime.

It is a super-2 number, since 2×106331026743² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106331026698 and 106331026707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106331026343) 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 23 ways as a sum of consecutive naturals, for example, 3425013 + ... + 3455918.

It is an arithmetic number, because the mean of its divisors is an integer number (6843086874).

Almost surely, 2^106331026743 is an apocalyptic number.

106331026743 is a deficient number, since it is larger than the sum of its proper divisors (57903058233).

106331026743 is a wasteful number, since it uses less digits than its factorization.

106331026743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881055 (or 6881052 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 106331026743 in words is "one hundred six billion, three hundred thirty-one million, twenty-six thousand, seven hundred forty-three".