106833746718144 has 84 divisors (see below), whose sum is σ = 306343474795696. Its totient is φ = 35596848411648.

The previous prime is 106833746718089. The next prime is 106833746718151. The reversal of 106833746718144 is 441817647338601.

It is a happy number.

106833746718144 is a `hidden beast` number, since 1 + 0 + 6 + 83 + 374 + 6 + 7 + 181 + 4 + 4 = 666.

It is a super-2 number, since 2×106833746718144² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36075604 + ... + 38924499.

Almost surely, 2^{106833746718144} is an apocalyptic number.

It is an amenable number.

106833746718144 is an abundant number, since it is smaller than the sum of its proper divisors (199509728077552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106833746718144 is a wasteful number, since it uses less digits than its factorization.

106833746718144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75002594 (or 75002581 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 106833746718144 in words is "one hundred six trillion, eight hundred thirty-three billion, seven hundred forty-six million, seven hundred eighteen thousand, one hundred forty-four".