106721318635449 has 48 divisors (see below), whose sum is σ = 165653690143680. Its totient is φ = 60936930391680.

The previous prime is 106721318635429. The next prime is 106721318635457. The reversal of 106721318635449 is 944536813127601.

It is not a de Polignac number, because 106721318635449 - 2⁵ = 106721318635417 is a prime.

It is a super-3 number, since 3×106721318635449³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106721318635392 and 106721318635401.

It is not an unprimeable number, because it can be changed into a prime (106721318635429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1198788559 + ... + 1198877579.

It is an arithmetic number, because the mean of its divisors is an integer number (3451118544660).

It is a 1-persistent number, because it is pandigital, but 2⋅106721318635449 = 213442637270898 is not.

Almost surely, 2^{106721318635449} is an apocalyptic number.

It is an amenable number.

106721318635449 is a deficient number, since it is larger than the sum of its proper divisors (58932371508231).

106721318635449 is a wasteful number, since it uses less digits than its factorization.

106721318635449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95190 (or 95183 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 60.

The spelling of 106721318635449 in words is "one hundred six trillion, seven hundred twenty-one billion, three hundred eighteen million, six hundred thirty-five thousand, four hundred forty-nine".