106682736144 has 20 divisors (see below), whose sum is σ = 275597068496. Its totient is φ = 35560912032.

The previous prime is 106682736133. The next prime is 106682736151. The reversal of 106682736144 is 441637286601.

It is a super-2 number, since 2×106682736144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48), and also a Moran number because the ratio is a prime number: 2222557003 = 106682736144 / (1 + 0 + 6 + 6 + 8 + 2 + 7 + 3 + 6 + 1 + 4 + 4).

It is a junction number, because it is equal to n+sod(n) for n = 106682736093 and 106682736102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1111278454 + ... + 1111278549.

Almost surely, 2^106682736144 is an apocalyptic number.

It is an amenable number.

106682736144 is an abundant number, since it is smaller than the sum of its proper divisors (168914332352).

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

106682736144 is a wasteful number, since it uses less digits than its factorization.

106682736144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2222557014 (or 2222557008 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 106682736144 in words is "one hundred six billion, six hundred eighty-two million, seven hundred thirty-six thousand, one hundred forty-four".