106797198438529 has 9 divisors (see below), whose sum is σ = 106868480116449. Its totient is φ = 106725964294740.

The previous prime is 106797198438503. The next prime is 106797198438559. The reversal of 106797198438529 is 925834891797601.

The square root of 106797198438529 is 10334273.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 106797198438529 - 2⁷ = 106797198438401 is a prime.

It is a super-2 number, since 2×106797198438529² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106797198438559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 22766401074 + ... + 22766405764.

It is a 2-persistent number, because it is pandigital, and so is 2⋅106797198438529 = 213594396877058, but 3⋅106797198438529 = 320391595315587 is not.

Almost surely, 2^{106797198438529} is an apocalyptic number.

106797198438529 is the 10334273-rd square number.

106797198438529 is the 5167137-th centered octagonal number.

It is an amenable number.

106797198438529 is a deficient number, since it is larger than the sum of its proper divisors (71281677920).

106797198438529 is an frugal number, since it uses more digits than its factorization.

106797198438529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13788 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 1646023680, while the sum is 79.

The spelling of 106797198438529 in words is "one hundred six trillion, seven hundred ninety-seven billion, one hundred ninety-eight million, four hundred thirty-eight thousand, five hundred twenty-nine".