106431317909 has 32 divisors (see below), whose sum is σ = 128848896000. Its totient is φ = 85878999360.

The previous prime is 106431317899. The next prime is 106431317917. The reversal of 106431317909 is 909713134601.

It is not a de Polignac number, because 106431317909 - 2¹⁶ = 106431252373 is a prime.

It is a super-2 number, since 2×106431317909² (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 106431317909.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106431317929) 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 31 ways as a sum of consecutive naturals, for example, 25963142 + ... + 25967240.

It is an arithmetic number, because the mean of its divisors is an integer number (4026528000).

Almost surely, 2^106431317909 is an apocalyptic number.

106431317909 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106431317909 is a deficient number, since it is larger than the sum of its proper divisors (22417578091).

106431317909 is a wasteful number, since it uses less digits than its factorization.

106431317909 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313.

The product of its (nonzero) digits is 122472, while the sum is 44.

The spelling of 106431317909 in words is "one hundred six billion, four hundred thirty-one million, three hundred seventeen thousand, nine hundred nine".