106819358144 has 28 divisors (see below), whose sum is σ = 212660157864. Its totient is φ = 53235696384.

The previous prime is 106819358143. The next prime is 106819358153. The reversal of 106819358144 is 441853918601.

It is a super-2 number, since 2×106819358144² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106819358092 and 106819358101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106819358143) 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 3 ways as a sum of consecutive naturals, for example, 2698679 + ... + 2737974.

It is an arithmetic number, because the mean of its divisors is an integer number (7595005638).

Almost surely, 2^106819358144 is an apocalyptic number.

It is an amenable number.

106819358144 is a deficient number, since it is larger than the sum of its proper divisors (105840799720).

106819358144 is an equidigital number, since it uses as much as digits as its factorization.

106819358144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5436972 (or 5436962 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 50.

The spelling of 106819358144 in words is "one hundred six billion, eight hundred nineteen million, three hundred fifty-eight thousand, one hundred forty-four".