106040485468799 has 8 divisors (see below), whose sum is σ = 121190466539040. Its totient is φ = 90890839470816.

The previous prime is 106040485468739. The next prime is 106040485468817. The reversal of 106040485468799 is 997864584040601.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a de Polignac number, because none of the positive numbers 2^k-106040485468799 is a prime.

It is a super-2 number, since 2×106040485468799² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106040485468739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83089544 + ... + 84356109.

It is an arithmetic number, because the mean of its divisors is an integer number (15148808317380).

Almost surely, 2^{106040485468799} is an apocalyptic number.

106040485468799 is a deficient number, since it is larger than the sum of its proper divisors (15149981070241).

106040485468799 is an equidigital number, since it uses as much as digits as its factorization.

106040485468799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167536129.

The product of its (nonzero) digits is 418037760, while the sum is 71.

The spelling of 106040485468799 in words is "one hundred six trillion, forty billion, four hundred eighty-five million, four hundred sixty-eight thousand, seven hundred ninety-nine".