106546611613 has 8 divisors (see below), whose sum is σ = 114962747256. Its totient is φ = 98161939200.

The previous prime is 106546611583. The next prime is 106546611623. The reversal of 106546611613 is 316116645601.

It can be written as a sum of positive squares in 4 ways, for example, as 2668032409 + 103878579204 = 51653^2 + 322302^2 .

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

It is not a de Polignac number, because 106546611613 - 2¹³ = 106546603421 is a prime.

It is a super-2 number, since 2×106546611613² (a number of 23 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 (106546611623) 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 7 ways as a sum of consecutive naturals, for example, 7858768 + ... + 7872313.

It is an arithmetic number, because the mean of its divisors is an integer number (14370343407).

Almost surely, 2^106546611613 is an apocalyptic number.

106546611613 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106546611613 is a deficient number, since it is larger than the sum of its proper divisors (8416135643).

106546611613 is a wasteful number, since it uses less digits than its factorization.

106546611613 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15731615.

The product of its (nonzero) digits is 77760, while the sum is 40.

The spelling of 106546611613 in words is "one hundred six billion, five hundred forty-six million, six hundred eleven thousand, six hundred thirteen".