106829248706465 has 8 divisors (see below), whose sum is σ = 131321808166248. Its totient is φ = 83378925819520.

The previous prime is 106829248706459. The next prime is 106829248706489. The reversal of 106829248706465 is 564607842928601.

It can be written as a sum of positive squares in 4 ways, for example, as 14478763179409 + 92350485527056 = 3805097^2 + 9609916^2 .

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

It is not a de Polignac number, because 106829248706465 - 2¹⁰ = 106829248705441 is a prime.

It is a super-2 number, since 2×106829248706465² (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 = 106829248706395 and 106829248706404.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 260559142982 + ... + 260559143391.

It is an arithmetic number, because the mean of its divisors is an integer number (16415226020781).

Almost surely, 2^{106829248706465} is an apocalyptic number.

It is an amenable number.

106829248706465 is a deficient number, since it is larger than the sum of its proper divisors (24492559459783).

106829248706465 is an equidigital number, since it uses as much as digits as its factorization.

106829248706465 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521118286419.

The product of its (nonzero) digits is 278691840, while the sum is 68.

The spelling of 106829248706465 in words is "one hundred six trillion, eight hundred twenty-nine billion, two hundred forty-eight million, seven hundred six thousand, four hundred sixty-five".