106344472769 has 16 divisors (see below), whose sum is σ = 108576599040. Its totient is φ = 104127550800.

The previous prime is 106344472697. The next prime is 106344472781. The reversal of 106344472769 is 967274443601.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 106344472769 - 2¹⁶ = 106344407233 is a prime.

It is a super-2 number, since 2×106344472769² (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 106344472769.

It is not an unprimeable number, because it can be changed into a prime (106344472799) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 16230044 + ... + 16236594.

It is an arithmetic number, because the mean of its divisors is an integer number (6786037440).

Almost surely, 2^106344472769 is an apocalyptic number.

It is an amenable number.

106344472769 is a deficient number, since it is larger than the sum of its proper divisors (2232126271).

106344472769 is an equidigital number, since it uses as much as digits as its factorization.

106344472769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7660.

The product of its (nonzero) digits is 6096384, while the sum is 53.

The spelling of 106344472769 in words is "one hundred six billion, three hundred forty-four million, four hundred seventy-two thousand, seven hundred sixty-nine".