106327224257657 has 8 divisors (see below), whose sum is σ = 114507748461120. Its totient is φ = 98146915333200.

The previous prime is 106327224257621. The next prime is 106327224257701. The reversal of 106327224257657 is 756752422723601.

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

It is a cyclic number.

It is not a de Polignac number, because 106327224257657 - 2²⁸ = 106326955822201 is a prime.

It is a super-2 number, since 2×106327224257657² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106327224257596 and 106327224257605.

It is not an unprimeable number, because it can be changed into a prime (106327224257357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52793219 + ... + 54770232.

It is an arithmetic number, because the mean of its divisors is an integer number (14313468557640).

Almost surely, 2^{106327224257657} is an apocalyptic number.

It is an amenable number.

106327224257657 is a deficient number, since it is larger than the sum of its proper divisors (8180524203463).

106327224257657 is a wasteful number, since it uses less digits than its factorization.

106327224257657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107639503.

The product of its (nonzero) digits is 59270400, while the sum is 59.

The spelling of 106327224257657 in words is "one hundred six trillion, three hundred twenty-seven billion, two hundred twenty-four million, two hundred fifty-seven thousand, six hundred fifty-seven".